Übersicht			Auf mobile öffnen

Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	Mai 2011
Genre:	Schulbücher
	B / Functional Analysis / Functional analysis & transforms / Funktionalanalysis und Abwandlungen / geometry / Mathematics and Statistics
ISBN:	9784431539124
EAN-Code:	9784431539124
Verlag:	Springer
Einband:	Gebunden
Sprache:	English
Serie:	Schriftenreihe Markt und Marketing Springer Monographs in Mathematics
Dimensionen:	H 235 mm / B 155 mm / D
Seiten:	320
Illustration:	XVI, 320 p.
Zus. Info:	EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025.
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.