Erschienen: 15.07.2013 Abbildung von Aomoto / Kita | Theory of Hypergeometric Functions | 2013

Aomoto / Kita

Theory of Hypergeometric Functions

lieferbar (3-5 Tage)

ca. 106,99 €

inkl. Mwst.

2013. Buch. xvi, 320 S. 5 s/w-Tabelle, Bibliographien. Softcover

Springer. ISBN 9784431540878

Format (B x L): 15,5 x 23,5 cm

Gewicht: 516 g

In englischer Sprache

Das Werk ist Teil der Reihe: Springer Monographs in Mathematics

Produktbeschreibung

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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