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Theory of Hypergeometric Functions on Paperback by Kazuhiko Aomoto
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Theory of Hypergeometric Functions

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Description

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.
Release date NZ
July 14th, 2013
Audience
  • Professional & Vocational
Contributors
  • Appendix by Toshitake Kohno
  • Translated by Kenji Iohara
Country of Publication
Japan
Edition
2011 ed.
Illustrations
5 black & white tables, biography
Imprint
Springer Verlag, Japan
Pages
320
Publisher
Springer Verlag, Japan
Dimensions
155x235x18
ISBN-13
9784431540878
Product ID
21467034

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Theory of Hypergeometric Functions on Hardback by Kazuhiko Aomoto
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