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searching for Cauchy's integral formula 4 found (81 total)

alternate case: cauchy's integral formula

Holomorphic functional calculus (5,482 words) [view diff] exact match in snippet view article find links to article

formula to functions taking values in the Banach space L(X). Cauchy's integral formula suggests the following definition (purely formal, for now): f

Enzo Martinelli (4,289 words) [view diff] exact match in snippet view article find links to article

analitiche di più variabili complesse" [On the extensions of Cauchy's integral formula to analytic functions of several complex variables], Annali di

Symmetry of second derivatives (5,372 words) [view diff] exact match in snippet view article find links to article

disk. The solution for f {\displaystyle f} can be written by Cauchy's integral formula f ( x , y ) = ∫ x 0 x A ( x , y ) d x + ∫ y 0 y B ( x , y ) d

Contour integration (9,666 words) [view diff] exact match in snippet view article find links to article

the form for direct application of the formula. Then, by using Cauchy's integral formula, ∮ C f ( z ) d z = ∮ C 1 ( z + i ) 2 ( z − i ) 2 d z = 2 π i d