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Theory of Hypergeometric Functions (in English)
Kazuhiko Aomoto
(Author)
·
Michitake Kita
(Author)
·
Toshitake Kohno
(Other)
·
Springer
· Paperback
Theory of Hypergeometric Functions (in English) - Aomoto, Kazuhiko ; Kita, Michitake ; Kohno, Toshitake
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Synopsis "Theory of Hypergeometric Functions (in English)"
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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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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