[PDF] [2011] Theory of Hypergeometric Functions

DOWNLOAD MORE EBOOKS, MAGAZINES, & PDFS: http://buyabook.ws/download-ebooks-magazines-pdfs-more/ BOOK INFO: 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.

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maxjasper (2012-09-25)

Thanks a lot bro