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Theory of Hypergeometric Functions

Theory of Hypergeometric Functions

Kazuhiko Aomoto / Michitake Kita

121,40 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2013
Materia
Geometría
ISBN:
9784431540878
121,40 €
IVA incluido
Disponible

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Sobre IBD

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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Otros libros del autor

  • Theory of Hypergeometric Functions
    Kazuhiko Aomoto / Michitake Kita
    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...