Read Theory of Hypergeometric Functions

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-Delignes rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoffs classical theory on analytic difference equations on the other.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Theory of Hypergeometric Functions. To get started finding Theory of Hypergeometric Functions, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 327

Format: PDF, EPUB & Kindle Edition

Publisher: Heinemann Publishing

Release: 2013

ISBN: 1299407544

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-Delignes rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoffs classical theory on analytic difference equations on the other.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Theory of Hypergeometric Functions. To get started finding Theory of Hypergeometric Functions, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Theory of Hypergeometric Functions

Theory of Hypergeometric Functions

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