LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516
Title	Theory of Hypergeometric Functions (EB) / by Kazuhiko Aomoto, Michitake Kita.
Author	Aomoto, Kazuhiko. , 1939-
Added Personal Name	Kita, Michitake
Other name(s)	SpringerLink (Online service)
Publication	Tokyo : Springer Japan
Publication	, 2011.
Physical Details	XVI, 320 pages : 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: Functional Analysis . Geometry . Hypergeometric functions . Mathematics . Authors: Aomoto, Kazuhiko. 1939- . author . Kita, Michitake . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 516 .

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Theory of Hypergeometric Functions

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