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Springer Theory of Hypergeometric Functions (Springer Monographs in Mathematics)

Name: Theory of Hypergeometric Functions (Springer Monographs in Mathematics)
Brand: Springer

Functional Analysis

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This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally satisfy a holonomic system of linear differential equations with respect to the coefficients of polynomials and also satisfy a holonomic system of linear difference equations with respect to the exponents. These are deduced from Grothendieck-Deligne’s rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoff’s classical theory on analytic difference equations on the other.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 4431540873
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 15 July 2013
Listed Since: 07 June 2013

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Springer Theory of Hypergeometric Functions (Springer Monographs in Mathematics)

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