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Theory of Hypergeometric Functions (Paperback, 2011 ed.) Loot Price: R2,640
Discovery Miles 26 400
Theory of Hypergeometric Functions (Paperback, 2011 ed.): Kazuhiko Aomoto, Michitake Kita

Theory of Hypergeometric Functions (Paperback, 2011 ed.)

Kazuhiko Aomoto, Michitake Kita; Appendix by Toshitake Kohno; Translated by Kenji Iohara

Series: Springer Monographs in Mathematics

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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.

General

Imprint: Springer Verlag,Japan
Country of origin: Japan
Series: Springer Monographs in Mathematics
Release date: July 2013
First published: 2011
Authors: Kazuhiko Aomoto • Michitake Kita
Appendix by: Toshitake Kohno
Translators: Kenji Iohara
Dimensions: 235 x 155 x 18mm (L x W x T)
Format: Paperback
Pages: 320
Edition: 2011 ed.
ISBN-13: 978-4-431-54087-8
Languages: English
Subtitles: Japanese
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Geometry > General
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LSN: 4-431-54087-3
Barcode: 9784431540878

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