Theory of Hypergeometric Functions

• Κύριοι συγγραφείς: Aomoto, Kazuhiko (Συγγραφέας), Kita, Michitake (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Tokyo : Springer Japan : Imprint: Springer, 2011.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Functional analysis.; Geometry.; Functional Analysis.

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 du...

Πίνακας περιεχομένων:

• 1 Introduction: the Euler-Gauss Hypergeometric Function
• 2 Representation of Complex Integrals and Twisted de Rham Cohomologies
• 3 Hypergeometric functions over Grassmannians
• 4 Holonomic Difference Equations and Asymptotic Expansion References Index.