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by Michitake Kita,Toshitake Kohno,Kazuhiko Aomoto
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Mathematics
  • Author:
    Michitake Kita,Toshitake Kohno,Kazuhiko Aomoto
  • ISBN:
    4431539123
  • ISBN13:
    978-4431539124
  • Genre:
  • Publisher:
    Springer; 2011 edition (May 16, 2011)
  • Pages:
    320 pages
  • Subcategory:
    Mathematics
  • Language:
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Theory of Hypergeometric Functions. Authors: Aomoto, Kazuhiko, Kita, Michitake. This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables

Theory of Hypergeometric Functions. Presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. 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.

Kita, Michitake; Aomoto, Kazuhiko (2011), Theory of hypergeometric functions, Springer Monographs in Mathematics, Berlin, New York: Springer-Verlag, ISBN 978-4-431-53912-4, MR 2799182. This article about a mathematician is a stub.

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Theory of Hypergeometric Functions - Springer Monographs in Mathematics (Paperback). This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables

Theory of Hypergeometric Functions - Springer Monographs in Mathematics (Paperback). Kazuhiko Aomoto (author), Michitake Kita (author), Toshitake Kohno (author of appendix), Kenji Iohara (translator).

from book Theory of Hypergeometric Functions (p. 03-182). Springer Monographs in Mathematics. Chapter · January 2011 with 5 Reads. Cite this publication. In this section, we introduce a hypergeometric function of several variables with coefficients given by Γ-factors. Under this formulation, we show that the classically known hypergeometric series can be described systematically. Do you want to read the rest of this chapter? Request full-text.

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Discover new books on Goodreads. See if your friends have read any of Michitake Kita's books. Michitake Kita’s Followers. None yet. Michitake Kita. Michitake Kita’s books. Theory of Hypergeometric Functions (Springer Monographs in Mathematics) by. Kazuhiko Aomoto, Michitake Kita. Kenji Iohara (Translator).

series Springer Monographs in Mathematics. by Kazuhiko Aomoto,Michitake Kita,Toshitake Kohno.

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

Theory of Hypergeometric Functions. Kazuhiko Aomoto, Michitake Kita, Toshitake Kohno. Recent development in hypergeometric functions in several variables has made the importance of studying twisted rational de Rham cohomology clear to many specialists. Roughly speaking, . More).

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.