Theory of Hypergeometric Functions (Hardcover, 2011 Ed.)

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.

General

Imprint:	Springer Verlag,Japan
Country of origin:	Japan
Series:	Springer Monographs in Mathematics
Release date:	May 2011
First published:	2011
Authors:	Kazuhiko Aomoto • Michitake Kita
Appendix by:	Toshitake Kohno
Translators:	Kenji Iohara
Dimensions:	235 x 155 x 23mm (L x W x T)
Format:	Hardcover
Pages:	320
Edition:	2011 Ed.
ISBN-13:	978-4-431-53912-4
Languages:	English
Subtitles:	Japanese
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	4-431-53912-3
Barcode:	9784431539124

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