Theory of Hypergeometric Functions is popular PDF and ePub book, written by Kazuhiko Aomoto in 2011-05-21, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Theory of Hypergeometric Functions can be Read Online from any device for your convenience.
Theory of Hypergeometric Functions Book PDF Summary
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.
Detail Book of Theory of Hypergeometric Functions PDF
- Author : Kazuhiko Aomoto
- Release : 21 May 2011
- Publisher : Springer Science & Business Media
- ISBN : 9784431539384
- Genre : Mathematics
- Total Page : 327 pages
- Language : English
- PDF File Size : 17,7 Mb
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