Shortcuts
Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

Theory of Hypergeometric Functions

Theory of Hypergeometric Functions
Catalogue Information
Field name Details
Dewey Class 516
Title Theory of Hypergeometric Functions (EB) / by Kazuhiko Aomoto, Michitake Kita.
Author Aomoto, Kazuhiko
Added Personal Name Kita, Michitake
Other name(s) SpringerLink (Online service)
Publication Tokyo : : Springer Japan :
: Imprint: Springer, , 2011.
Physical Details XVI, 320 p. : online resource.
Series Springer monographs in mathematics 1439-7382
ISBN 9784431539384
Summary Note 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-Deligneâs rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoffâs classical theory on analytic difference equations on the other.:
Contents note 1 Introduction: the Euler-Gauss Hypergeometric Function -- 2 Representation of Complex Integrals and Twisted de Rham Cohomologies -- 3 Hypergeometric functions over Grassmannians -- 4 Holonomic Difference Equations and Asymptotic Expansion References Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-4-431-53938-4
Links to Related Works
Subject References:
Authors:
Corporate Authors:
Series:
Classification:
Catalogue Information 28403 Beginning of record . Catalogue Information 28403 Top of page .

Reviews


This item has not been rated.    Add a Review and/or Rating28403
. E-mail This Page
Quick Search