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Theory Of Hypergeometric Functions

ISBN 9784431539124
REGISTERED: 03/28/18
UPDATED: 01/22/21
Theory Of Hypergeometric Functions

This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables

  • Theory Of Hypergeometric Functions available on March 27 2017 from Indigo for 155.0
  • ISBN bar code 9784431539124 ξ1 registered March 27 2017
  • Product category is Book

  • # 978443153912

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.

    ^ Theory Of Hypergeometric Functions Indigo. (revised Mar 2017)

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