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Theory of Hypergeometric Functions

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Aomoto, Kazuhiko (Autor), Kita, Michitake (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Tokyo : Springer Japan : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Springer Monographs in Mathematics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.