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Longer titles found: Hypergeometric function of a matrix argument (view), Confluent hypergeometric function (view), Generalized hypergeometric function (view), General hypergeometric function (view)

searching for Hypergeometric function 21 found (159 total)

alternate case: hypergeometric function

Wilf–Zeilberger pair (704 words) [view diff] no match in snippet view article find links to article

In mathematics, specifically combinatorics, a Wilf–Zeilberger pair, or WZ pair, is a pair of functions that can be used to certify certain combinatorial identities

Kazuhiko Aomoto (70 words) [view diff] exact match in snippet view article find links to article

is a Japanese mathematician who introduced the Aomoto-Gel'fand hypergeometric function and the Aomoto integral. He was a professor at Nagoya University

Hahn–Exton q-Bessel function (893 words) [view diff] exact match in snippet view article find links to article

_{1}(0;q^{\nu +1};q,qx^{2}).} ϕ {\displaystyle \phi } is the basic hypergeometric function. Koelink and Swarttouw proved that J ν ( 3 ) ( x ; q ) {\displaystyle

List of factorial and binomial topics (220 words) [view diff] exact match in snippet view article find links to article

coefficient Gould's sequence Hyperfactorial Hypergeometric distribution Hypergeometric function identities Hypergeometric series Incomplete beta function Incomplete

List of mathematical identities (175 words) [view diff] exact match in snippet view article find links to article

Combinatorial Fibonacci identities and Other Fibonacci identities Hypergeometric function identities List of integrals of logarithmic functions List of topics

Q-Charlier polynomials (254 words) [view diff] exact match in snippet view article find links to article

their properties. The polynomials are given in terms of the basic hypergeometric function by C n ( q − x ; a ; q ) = 2 ϕ 1 ( q − n , q − x ; 0 ; q , − q

Appell sequence (1,454 words) [view diff] exact match in snippet view article find links to article

Appell polynomials can be obtained in terms of the generalized hypergeometric function. Let Δ ( k , − n ) {\displaystyle \Delta (k,-n)} denote the array

Bessel–Clifford function (1,213 words) [view diff] exact match in snippet view article find links to article

Bessel–Clifford function is up to a scaling factor a Pochhammer–Barnes hypergeometric function; we have C n ( z ) = π ( n ) 0 F 1 ( ; n + 1 ; z ) . {\displaystyle

Beta wavelet (1,861 words) [view diff] exact match in snippet view article find links to article

The beta wavelet spectrum can be derived in terms of the Kummer hypergeometric function. Let ψ b e t a ( t | α , β ) ↔ Ψ B E T A ( ω | α , β ) {\displaystyle

Index of combinatorics articles (626 words) [view diff] exact match in snippet view article find links to article

Perfect hash function Heilbronn triangle problem Helly family Hypergeometric function identities Hypergeometric series Hypergraph Incidence structure

Spiral (4,360 words) [view diff] exact match in snippet view article find links to article

superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function. Computer Aided Geometric Design 29(7): 510–518, 2012 [9]. Ziatdinov

Euler spiral (3,251 words) [view diff] exact match in snippet view article find links to article

superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function", Computer Aided Geometric Design, 29 (7): 510–518, doi:10.1016/j

Generalized integer gamma distribution (1,686 words) [view diff] exact match in snippet view article find links to article

; z ) {\displaystyle _{1}F_{1}(a,b;z)} is the Kummer confluent hypergeometric function. This function has usually very good convergence properties and

Fisher transformation (1,558 words) [view diff] exact match in snippet view article find links to article

{1+r\rho }{2}}\right)} where F {\displaystyle F} is the Gaussian hypergeometric function and ν = N − 1 > 1 {\displaystyle \nu =N-1>1} . While the Fisher

Adrienne W. Kemp (636 words) [view diff] case mismatch in snippet view article find links to article

Univariate Discrete Distribution Theory Based on the Generalized Hypergeometric Function and Associated Differential Equations. The family moved again in

Jackson q-Bessel function (2,730 words) [view diff] exact match in snippet view article find links to article

functions are given in terms of the q-Pochhammer symbol and the basic hypergeometric function ϕ {\displaystyle \phi } by J ν ( 1 ) ( x ; q ) = ( q ν + 1 ; q

Confidence distribution (4,054 words) [view diff] exact match in snippet view article find links to article

{1}{2}};{\frac {1+r\rho }{2}})} where F {\displaystyle F} is the Gaussian hypergeometric function and ν = n − 1 > 1 {\displaystyle \nu =n-1>1} . This is also the

Lambert W function (12,429 words) [view diff] exact match in snippet view article find links to article

that function. In this respect, the generalization resembles the hypergeometric function and the Meijer G function but it belongs to a different class of

Distribution of the product of two random variables (8,274 words) [view diff] exact match in snippet view article find links to article

\;\;\;0<z<1} where 2 F 1 {\displaystyle {_{2}F_{1}}} is the Gauss hypergeometric function defined by the Euler integral 2 F 1 ( a , b , c , z ) = Γ ( c )

Gradshteyn and Ryzhik (11,968 words) [view diff] exact match in snippet view article find links to article

"The integrals in Gradshteyn and Ryzhik. Part 28: The confluent hypergeometric function and Whittaker functions" (PDF). Scientia. Series A: Mathematical

Modified half-normal distribution (1,784 words) [view diff] case mismatch in snippet view article find links to article

Maitland (1935). "The Asymptotic Expansion of the Generalized Hypergeometric Function". Journal of the London Mathematical Society. s1-10 (4): 286–293