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searching for Complex analysis 116 found (1205 total)

alternate case: complex analysis

Euler's identity (1,947 words) [view diff] no match in snippet view article find links to article

In mathematics, Euler's identity (also known as Euler's equation) is the equality e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} where e {\displaystyle e}

Fundamental pair of periods (1,204 words) [view diff] no match in snippet view article find links to article

In mathematics, a fundamental pair of periods is an ordered pair of complex numbers that defines a lattice in the complex plane. This type of lattice is

Operator theory (1,638 words) [view diff] no match in snippet view article find links to article

In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The

Multiplicity (mathematics) (1,778 words) [view diff] no match in snippet view article

Look up multiplicity in Wiktionary, the free dictionary. In mathematics, the multiplicity of a member of a multiset is the number of times it appears in

Radius of convergence (2,616 words) [view diff] exact match in snippet view article find links to article

find the radius of convergence of this series. But the theorem of complex analysis stated above quickly solves the problem. At z = 0, there is in effect

Corona theorem (562 words) [view diff] no match in snippet view article find links to article

In mathematics, the corona theorem is a result about the spectrum of the bounded holomorphic functions on the open unit disc, conjectured by Kakutani (1941)

Paley–Wiener theorem (1,569 words) [view diff] exact match in snippet view article find links to article

ISBN / Date incompatibility (help) Rudin, Walter (1987), Real and complex analysis (3rd ed.), New York: McGraw-Hill, ISBN 978-0-07-054234-1, MR 0924157

Abel's theorem (1,538 words) [view diff] case mismatch in snippet view article find links to article

products of sequences Ahlfors, Lars Valerian (September 1, 1980). Complex Analysis (Third ed.). McGraw Hill Higher Education. pp. 41–42. ISBN 0-07-085008-9

De Moivre's formula (3,260 words) [view diff] no match in snippet view article find links to article

In mathematics, de Moivre's formula (also known as de Moivre's theorem and de Moivre's identity) states that for any real number x and integer n it is

Potential theory (1,326 words) [view diff] exact match in snippet view article find links to article

complex analysis are special cases of theorems of potential theory in any dimension, one can obtain a feel for exactly what is special about complex analysis

Menahem Max Schiffer (806 words) [view diff] exact match in snippet view article find links to article

November 1997)) was a German-born American mathematician who worked in complex analysis, partial differential equations, and mathematical physics. Menachem

Hartogs's theorem on separate holomorphicity (397 words) [view diff] case mismatch in snippet view article find links to article

incompatibility (help) Hörmander, Lars (1990) [1966], An Introduction to Complex Analysis in Several Variables (3rd ed.), North Holland, ISBN 978-1-493-30273-4

Steven G. Krantz (1,948 words) [view diff] case mismatch in snippet view article find links to article

Krantz's monographs include Function Theory of Several Complex Variables, Complex Analysis: The Geometric Viewpoint, A Primer of Real Analytic Functions (joint

Oka–Weil theorem (438 words) [view diff] case mismatch in snippet view article find links to article

Mergelyan". In Breaz, Daniel; Rassias, Michael Th. (eds.). Advancements in Complex Analysis – Holomorphic Approximation. Springer Nature. pp. 133–192. arXiv:1802

Oka coherence theorem (206 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-642-69582-7. Hörmander, Lars (1990), An introduction to complex analysis in several variables, Amsterdam: North-Holland, ISBN 978-0-444-88446-6

Schwarz reflection principle (344 words) [view diff] exact match in snippet view article find links to article

Mathematics principle in complex analysis

Cora Sadosky (847 words) [view diff] case mismatch in snippet view article find links to article

Wilfredo, eds. (2016), Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1): Celebrating Cora Sadosky's

Glossary of functional analysis (3,200 words) [view diff] exact match in snippet view article find links to article

also References See also: List of Banach spaces, glossary of real and complex analysis. * *-homomorphism between involutive Banach algebras is an algebra

List of named differential equations (1,097 words) [view diff] no match in snippet view article find links to article

Differential equations play a prominent role in many scientific areas: mathematics, physics, engineering, chemistry, biology, medicine, economics, etc

Bergman–Weil formula (200 words) [view diff] no match in snippet view article find links to article

In mathematics, the Bergman–Weil formula is an integral representation for holomorphic functions of several variables generalizing the Cauchy integral

Peter Henrici (mathematician) (483 words) [view diff] exact match in snippet view article

analysis. Wiley. Henrici, Peter (1974). Applied and computational complex analysis, Volume 1: Power series—integration—conformal mapping—location of zeros

Hartogs's extension theorem (2,665 words) [view diff] exact match in snippet view article find links to article

Range, R. Michael (2002), "Extension phenomena in multidimensional complex analysis: correction of the historical record", The Mathematical Intelligencer

Bochner–Martinelli formula (1,052 words) [view diff] case mismatch in snippet view article find links to article

[1979], Integral Representations and Residues in Multidimensional Complex Analysis, Translations of Mathematical Monographs, vol. 58, Providence R.I.:

Area theorem (conformal mapping) (1,090 words) [view diff] exact match in snippet view article

the geometry of conformal mappings. Rudin, Walter (1987), Real and complex analysis (3rd ed.), New York: McGraw-Hill Book Co., ISBN 978-0-07-054234-1,

Routh–Hurwitz theorem (654 words) [view diff] no match in snippet view article find links to article

In mathematics, the Routh–Hurwitz theorem gives a test to determine whether all roots of a given polynomial lie in the left-half complex plane. Polynomials

Behnke–Stein theorem (214 words) [view diff] no match in snippet view article find links to article

In mathematics, especially several complex variables, the Behnke–Stein theorem states that a union of an increasing sequence G k ⊂ C n {\displaystyle G_{k}\subset

Classification of Fatou components (614 words) [view diff] no match in snippet view article find links to article

In mathematics, Fatou components are components of the Fatou set. They were named after Pierre Fatou. If f is a rational function f = P ( z ) Q ( z ) {\displaystyle

Weierstrass preparation theorem (1,218 words) [view diff] no match in snippet view article find links to article

In mathematics, the Weierstrass preparation theorem is a tool for dealing with analytic functions of several complex variables, at a given point P. It

List of lemmas (525 words) [view diff] no match in snippet view article find links to article

This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list

Oka's lemma (346 words) [view diff] no match in snippet view article find links to article

In mathematics, Oka's lemma, proved by Kiyoshi Oka, states that in a domain of holomorphy in C n {\displaystyle \mathbb {C} ^{n}} , the function − log

Graduate Texts in Mathematics (5,056 words) [view diff] case mismatch in snippet view article find links to article

Representations, V. S. Varadarajan (1984, ISBN 978-0-387-90969-1) Complex Analysis, Serge Lang (1999, 4th ed., ISBN 978-0-387-98592-3) Modern Geometry —

Mellin inversion theorem (797 words) [view diff] no match in snippet view article find links to article

In mathematics, the Mellin inversion formula (named after Hjalmar Mellin) tells us conditions under which the inverse Mellin transform, or equivalently

Ostrowski–Hadamard gap theorem (228 words) [view diff] no match in snippet view article find links to article

In mathematics, the Ostrowski–Hadamard gap theorem is a result about the analytic continuation of complex power series whose non-zero terms are of orders

The Birth of Venus (4,934 words) [view diff] exact match in snippet view article find links to article

Most art historians agree, however, that the Birth does not require complex analysis to decode its meaning, in the way that the Primavera probably does

Earle–Hamilton fixed-point theorem (799 words) [view diff] no match in snippet view article find links to article

In mathematics, the Earle–Hamilton fixed point theorem is a result in geometric function theory giving sufficient conditions for a holomorphic mapping

Harnack's principle (542 words) [view diff] no match in snippet view article find links to article

In the mathematical field of partial differential equations, Harnack's principle or Harnack's theorem is a corollary of Harnack's inequality which deals

Complex conjugate root theorem (992 words) [view diff] case mismatch in snippet view article find links to article

Preview available at Google books Alan Jeffrey (2005). "Analytic Functions". Complex Analysis and Applications. CRC Press. pp. 22–23. ISBN 158488553X.

Mean value theorem (5,401 words) [view diff] no match in snippet view article find links to article

In mathematics, the mean value theorem (or Lagrange's mean value theorem) states, roughly, that for a given planar arc between two endpoints, there is

Estimation lemma (625 words) [view diff] case mismatch in snippet view article find links to article

of Complex Analysis for Mathematics, Science, and Engineering (2nd ed.), Prentice Hall, ISBN 978-0133274615. Howie, J.M. (2003), Complex Analysis, Springer

Grace–Walsh–Szegő theorem (177 words) [view diff] no match in snippet view article find links to article

In mathematics, the Grace–Walsh–Szegő coincidence theorem is a result named after John Hilton Grace, Joseph L. Walsh, and Gábor Szegő. Suppose ƒ(z1, .

Ohsawa–Takegoshi L2 extension theorem (459 words) [view diff] case mismatch in snippet view article find links to article

(2000). "On the Ohsawa–Takegoshi–Manivel L2 extension theorem" (PDF). Complex Analysis and Geometry. Progress in Mathematics. Vol. 188. pp. 47–82. doi:10

Carleson–Jacobs theorem (88 words) [view diff] no match in snippet view article find links to article

In mathematics, the Carleson–Jacobs theorem, introduced by L. Carleson and S. Jacobs (1972), describes the best approximation to a continuous function

List of things named after Augustin-Louis Cauchy (205 words) [view diff] no match in snippet view article find links to article

Things named after the 19th-century French mathematician Augustin-Louis Cauchy include: Bolzano–Cauchy theorem Cauchy boundary condition Cauchy completion

Edward Marczewski (279 words) [view diff] exact match in snippet view article find links to article

theory and universal algebra. He also published papers on real and complex analysis, applied mathematics and mathematical logic. Marczewski proved that

Schwarz–Ahlfors–Pick theorem (214 words) [view diff] no match in snippet view article find links to article

In mathematics, the Schwarz–Ahlfors–Pick theorem is an extension of the Schwarz lemma for hyperbolic geometry, such as the Poincaré half-plane model. The

Siméon Denis Poisson (4,395 words) [view diff] exact match in snippet view article find links to article

was a French mathematician and physicist who worked on statistics, complex analysis, partial differential equations, the calculus of variations, analytical

Branching theorem (258 words) [view diff] exact match in snippet view article find links to article

points, it is called unbranched. See also unramified morphism. Ahlfors, Lars (1979), Complex analysis (3rd ed.), McGraw Hill, ISBN 0-07-000657-1. v t e

Analytic Fredholm theorem (276 words) [view diff] no match in snippet view article find links to article

In mathematics, the analytic Fredholm theorem is a result concerning the existence of bounded inverses for a family of bounded linear operators on a Hilbert

Christian Pommerenke (228 words) [view diff] exact match in snippet view article find links to article

– 18 August 2024) was a German mathematician known for his work in complex analysis. Pommerenke studied at the University of Göttingen (1954–1958), achieving

Uniformization theorem (3,387 words) [view diff] exact match in snippet view article find links to article

(2nd ed.), Springer, ISBN 978-0-387-90465-8 Gamelin, Theodore W. (2001), Complex analysis, Undergraduate Texts in Mathematics, Springer, ISBN 978-0-387-95069-3

Zeev Nehari (183 words) [view diff] case mismatch in snippet view article find links to article

Weissbach; 2 February 1915 – 1978) was a mathematician who worked on Complex Analysis, Univalent Functions Theory and Differential and Integral Equations

Origin (mathematics) (388 words) [view diff] case mismatch in snippet view article

Society, p. 134, ISBN 9780821884782. Gonzalez, Mario (1991), Classical Complex Analysis, Chapman & Hall Pure and Applied Mathematics, CRC Press, ISBN 9780824784157

Uniform limit theorem (831 words) [view diff] exact match in snippet view article find links to article

There are also variants of the uniform limit theorem that are used in complex analysis, albeit with modified assumptions. Theorem. Let Ω {\displaystyle \Omega

Edge-of-the-wedge theorem (1,930 words) [view diff] no match in snippet view article find links to article

In mathematics, Bogoliubov's edge-of-the-wedge theorem implies that holomorphic functions on two "wedges" with an "edge" in common are analytic continuations

Ushiki's theorem (211 words) [view diff] no match in snippet view article find links to article

In mathematics, particularly in the study of functions of several complex variables, Ushiki's theorem, named after S. Ushiki, states that certain well-behaved

Identity theorem for Riemann surfaces (152 words) [view diff] no match in snippet view article find links to article

In mathematics, the identity theorem for Riemann surfaces is a theorem that states that a holomorphic function is completely determined by its values on

Radó's theorem (Riemann surfaces) (124 words) [view diff] exact match in snippet view article

In mathematical complex analysis, Radó's theorem, proved by Tibor Radó (1925), states that every connected Riemann surface is second-countable (has a countable

Fabry gap theorem (266 words) [view diff] no match in snippet view article find links to article

In mathematics, the Fabry gap theorem is a result about the analytic continuation of complex power series whose non-zero terms are of orders that have

Farrell–Markushevich theorem (560 words) [view diff] no match in snippet view article find links to article

In mathematics, the Farrell–Markushevich theorem, proved independently by O. J. Farrell (1899–1981) and A. I. Markushevich (1908–1979) in 1934, is a result

Raymond O. Wells Jr. (531 words) [view diff] exact match in snippet view article find links to article

Jr. (born 1940), "Ronny", is an American mathematician, working in complex analysis in several variables as well as wavelets. Wells received his BA from

Fractional factorial design (1,910 words) [view diff] exact match in snippet view article find links to article

However, this reduction in runs comes at the cost of potentially more complex analysis, as some effects can become intertwined, making it impossible to isolate

Spijker's lemma (102 words) [view diff] no match in snippet view article find links to article

In mathematics, Spijker's lemma is a result in the theory of rational mappings of the Riemann sphere. It states that the image of a circle under a complex

Essential range (1,281 words) [view diff] exact match in snippet view article find links to article

Wiley. p. 187. ISBN 0-471-31716-0. Rudin, Walter (1987). Real and complex analysis (3rd ed.). New York: McGraw-Hill. ISBN 0-07-054234-1. Douglas, Ronald

Andreotti–Norguet formula (1,493 words) [view diff] case mismatch in snippet view article find links to article

1993, p. 58). Aizenberg, Lev (1993) [1990], Carleman's Formulas in Complex Analysis. Theory and applications, Mathematics and Its Applications, vol. 244

Universal Teichmüller space (242 words) [view diff] exact match in snippet view article find links to article

In mathematical complex analysis, universal Teichmüller space T(1) is a Teichmüller space containing the Teichmüller space T(G) of every Fuchsian group

Arakelyan's theorem (178 words) [view diff] no match in snippet view article find links to article

In mathematics, Arakelyan's theorem is a generalization of Mergelyan's theorem from compact subsets of an open subset of the complex plane to relatively

Wirtinger's representation and projection theorem (698 words) [view diff] no match in snippet view article find links to article

In mathematics, Wirtinger's representation and projection theorem is a theorem proved by Wilhelm Wirtinger in 1932 in connection with some problems of

COPG2 (1,032 words) [view diff] no match in snippet view article find links to article

interactions contribute to assembly of clathrin adaptor complexes and COPI complex: analysis using yeast three-hybrid system". Biochem. Biophys. Res. Commun. 284

Evryali (683 words) [view diff] exact match in snippet view article find links to article

names for the textures, but with essentially the same content). A more complex analysis, offered by musicologist Ronald Squibbs, reveals that Evryali has four

Wirtinger's representation and projection theorem (698 words) [view diff] no match in snippet view article find links to article

In mathematics, Wirtinger's representation and projection theorem is a theorem proved by Wilhelm Wirtinger in 1932 in connection with some problems of

Béla Kerékjártó (541 words) [view diff] exact match in snippet view article find links to article

topological fundamentals of analysis and geometry" where he advocated that "complex analysis should be built with instruments of topology without metric elements

Corona (784 words) [view diff] exact match in snippet view article find links to article

ciliaris, a part of the human eye Corona theorem (or conjecture) in complex analysis Corona algebra (or corona) of a C*-algebra Corona graph product, a

Parseval–Gutzmer formula (772 words) [view diff] case mismatch in snippet view article find links to article

}\right)\right)\right|^{2}=2\pi \left|\max _{|z|=r}(f(z))\right|^{2}=2\pi M_{r}^{2}} Ahlfors, Lars (1979). Complex Analysis. McGraw–Hill. ISBN 0-07-085008-9. v t e

Free abelian group (6,773 words) [view diff] no match in snippet view article find links to article

In mathematics, a free abelian group is an abelian group with a basis. Being an abelian group means that it is a set with an addition operation that is

Pole (369 words) [view diff] exact match in snippet view article find links to article

various historical definitions Pole, either end of a magnet Pole (complex analysis), a certain type of mathematical singularity Pole, an element of perspective

Path integral (86 words) [view diff] exact match in snippet view article find links to article

integral, the integral of a complex function along a curve used in complex analysis Functional integration, the integral of a functional over a space of

Sergei Starchenko (412 words) [view diff] exact match in snippet view article find links to article

real and complex analysis.[citation needed] In 2010 Starchenko was, along with Peterzil, Invited Speaker with the talk Tame complex analysis and o-minimality

Nikolai Kapitonovich Nikolski (650 words) [view diff] exact match in snippet view article find links to article

November 1940) is a Russian mathematician, specializing in real and complex analysis and functional analysis. Nikolski received in 1966 his Candidate of

List of Hindawi academic journals (1,360 words) [view diff] case mismatch in snippet view article find links to article

Epidemiology Journal of Chemistry Journal of Combustion Journal of Complex Analysis Journal of Computer Networks and Communications Journal of Control

Conjugation (407 words) [view diff] exact match in snippet view article find links to article

complex conjugate of the transpose of a matrix Harmonic conjugate in complex analysis Conjugate (graph theory), an alternative term for a line graph, i.e

Watson's lemma (2,537 words) [view diff] no match in snippet view article find links to article

In mathematics, Watson's lemma, proved by G. N. Watson (1918, p. 133), has significant application within the theory on the asymptotic behavior of integrals

Carus Mathematical Monographs (734 words) [view diff] case mismatch in snippet view article find links to article

Networks, by Peter G. Doyle and J. Laurie Snell, ISBN 9780883850244 Complex Analysis: The Geometric Viewpoint, by Steven G. Krantz - ISBN 978-0883850350

Carus Mathematical Monographs (734 words) [view diff] case mismatch in snippet view article find links to article

Networks, by Peter G. Doyle and J. Laurie Snell, ISBN 9780883850244 Complex Analysis: The Geometric Viewpoint, by Steven G. Krantz - ISBN 978-0883850350

Bandlimiting (1,158 words) [view diff] exact match in snippet view article find links to article

support unless it is identically zero. This fact can be proved using complex analysis and properties of the Fourier transform. Assume that a signal f(t)

Bochner's tube theorem (381 words) [view diff] no match in snippet view article find links to article

In mathematics, Bochner's tube theorem (named for Salomon Bochner) shows that every function holomorphic on a tube domain in C n {\displaystyle \mathbb

David Catlin (414 words) [view diff] exact match in snippet view article find links to article

professor at Purdue University. He solved a boundary behavior problem of complex analysis in several variables, on which his teacher Kohn worked in detail and

Hypercomplex manifold (914 words) [view diff] case mismatch in snippet view article find links to article

Manifolds". In S. Dimiev and K. Sekigawa (ed.). Contemporary Aspects of Complex Analysis, Differential Geometry and Mathematical Physics. Vol. 2005. Hackensack

Q.E.D. (1,198 words) [view diff] case mismatch in snippet view article find links to article

list of mathematical symbols for more. Rudin, Walter (1987). Real and Complex Analysis. McGraw-Hill. ISBN 0-07-100276-6. Rudin, Walter (1976). Principles

Wielandt theorem (180 words) [view diff] no match in snippet view article find links to article

In mathematics, the Wielandt theorem characterizes the gamma function, defined for all complex numbers z {\displaystyle z} for which R e z > 0 {\displaystyle

DMAIC (1,040 words) [view diff] exact match in snippet view article find links to article

until "valid" root causes can be identified. Within Six Sigma, often complex analysis tools are used. However, it is acceptable to use basic tools if these

The OpenMS Proteomics Pipeline (240 words) [view diff] exact match in snippet view article find links to article

into small command line tools that are the building blocks for more complex analysis pipelines. The functionality of the tools ranges from data preprocessing

Quasisymmetric (65 words) [view diff] exact match in snippet view article find links to article

Quasisymmetric functions in algebraic combinatorics Quasisymmetric maps in complex analysis or metric spaces Quasi-symmetric designs in combinatorial design theory

Undergraduate Texts in Mathematics (4,190 words) [view diff] case mismatch in snippet view article find links to article

1007/978-1-4757-3490-4. ISBN 978-0-387-98972-3. Gamelin, Theodore W. (2001). Complex Analysis. doi:10.1007/978-0-387-21607-2. ISBN 978-0-387-95093-8. Jänich, Klaus

Stein manifold (1,475 words) [view diff] exact match in snippet view article find links to article

Stein manifolds are in some sense dual to the elliptic manifolds in complex analysis which admit "many" holomorphic functions from the complex numbers into

Elias M. Stein (1,002 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-691-11384-X. 2011 reprint Stein, Elias; Shakarchi, R. (2003). Complex Analysis. Princeton University Press. ISBN 0-691-11385-8. 2010 reprint Stein

List of Jewish mathematicians (15,830 words) [view diff] exact match in snippet view article find links to article

Berger (born 1940), information theory Stefan Bergman (1895–1977), complex analysis Paul Bernays (1888–1977), foundations of mathematics Benjamin Abram

BisQue (Bioimage Analysis and Management Platform) (1,693 words) [view diff] exact match in snippet view article

data organization. Image analysis modules can be added to perform complex analysis tasks on compute clusters. Analysis results are stored within the database

Elias M. Stein (1,002 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-691-11384-X. 2011 reprint Stein, Elias; Shakarchi, R. (2003). Complex Analysis. Princeton University Press. ISBN 0-691-11385-8. 2010 reprint Stein

Modern Arabic mathematical notation (809 words) [view diff] no match in snippet view article find links to article

Modern Arabic mathematical notation is a mathematical notation based on the Arabic script, used especially at pre-university levels of education. Its form

AP4E1 (375 words) [view diff] no match in snippet view article find links to article

interactions contribute to assembly of clathrin adaptor complexes and COPI complex: analysis using yeast three-hybrid system". Biochem. Biophys. Res. Commun. 284

Subset (1,734 words) [view diff] exact match in snippet view article find links to article

ISBN / Date incompatibility (help) Rudin, Walter (1987), Real and complex analysis (3rd ed.), New York: McGraw-Hill, p. 6, ISBN 978-0-07-054234-1, MR 0924157

Norair Arakelian (395 words) [view diff] exact match in snippet view article find links to article

and Soviet mathematician, specializing in approximation theory and complex analysis. He was known for Arakelian's approximation theorem. Also, on the basis

Borel summation (3,525 words) [view diff] exact match in snippet view article find links to article

to Stockholm to see Mittag-Leffler, who was the recognized lord of complex analysis. Mittag-Leffler listened politely to what Borel had to say and then

Hadamard (disambiguation) (298 words) [view diff] no match in snippet view article

Hadamard may refer to: Zélie Hadamard (1849–1901), French actress Jacques Hadamard (1865–1963), a French mathematician, whose name is associated with the

Michael E. Taylor (802 words) [view diff] exact match in snippet view article find links to article

978-3-11-048438-0, 978-3-11-048339-0 Michael E. Taylor. Introduction to complex analysis. Graduate Studies in Mathematics, 202. American Mathematical Society

Bilinear transformation (79 words) [view diff] exact match in snippet view article find links to article

continuous-time and discrete-time representations Möbius transformation (complex analysis): a rational function of the form f(z) = (az + b) / (cz + d) Bilinear

Triangulation (topology) (5,150 words) [view diff] exact match in snippet view article

and outside of mathematics, for instance in algebraic topology, in complex analysis, and in modeling. On the one hand, it is sometimes useful to forget

Gennadi Henkin (455 words) [view diff] exact match in snippet view article find links to article

at the Pierre et Marie Curie University (Paris VI). He published on complex analysis (in particular integral representations in several complex variables)

William A. Veech (587 words) [view diff] case mismatch in snippet view article find links to article

Review of A Second Course in Complex Analysis by E. Hille, MR0220903. Wenzel, H., "W. A. Veech, A Second Course in Complex Analysis", Book Reviews, Journal

Malgrange–Zerner theorem (443 words) [view diff] no match in snippet view article find links to article

In mathematics, Malgrange–Zerner theorem (named for Bernard Malgrange and Martin Zerner) shows that a function on R n {\displaystyle \mathbb {R} ^{n}}

Magnitude (mathematics) (1,316 words) [view diff] case mismatch in snippet view article

Professional. p. 2. ISBN 978-0-07-148754-2. Ahlfors, Lars V. (1953). Complex Analysis. Tokyo: McGraw Hill Kogakusha. Nykamp, Duane. "Magnitude of a vector

Thomas Ransford (184 words) [view diff] exact match in snippet view article find links to article

Canadian mathematician, known for his research in spectral theory and complex analysis. He holds a Canada Research Chair in mathematics at Université Laval

Serge Lang (3,702 words) [view diff] exact match in snippet view article find links to article

1007/978-1-4612-1738-1. ISBN 0-387-98235-3. MR 1488961. Lang, Serge (1999). Complex analysis. Graduate Texts in Mathematics. Vol. 103 (Fourth edition of 1977 original ed

Square root (6,200 words) [view diff] exact match in snippet view article find links to article

point makes with the positive real ( x {\displaystyle x} ) axis. In complex analysis, the location of this point is conventionally written r e i φ . {\displaystyle

Sidney Martin Webster (500 words) [view diff] exact match in snippet view article find links to article

Illinois) is an American mathematician, specializing in multidimensional complex analysis. After military service, Webster attended the University of California

Trigonometric functions (10,740 words) [view diff] exact match in snippet view article find links to article

for the sine is due to Leonhard Euler, and is of great importance in complex analysis: sin ⁡ z = z ∏ n = 1 ∞ ( 1 − z 2 n 2 π 2 ) , z ∈ C . {\displaystyle