Theory of Hypergeometric Functions
Author:   Kazuhiko Aomoto ,  Michitake Kita ,  Toshitake Kohno ,  Kenji Iohara
Publisher:   Springer Verlag, Japan
Edition:   2011 ed.
Volume:   v. 305
ISBN:  

9784431539124


Pages:   320
Publication Date:   13 May 2011
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Our Price $327.36 Quantity:  
Add to Cart

Share |

Theory of Hypergeometric Functions


Add your own review!

Overview

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.

Full Product Details

Author:   Kazuhiko Aomoto ,  Michitake Kita ,  Toshitake Kohno ,  Kenji Iohara
Publisher:   Springer Verlag, Japan
Imprint:   Springer Verlag, Japan
Edition:   2011 ed.
Volume:   v. 305
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.670kg
ISBN:  

9784431539124


ISBN 10:   4431539123
Pages:   320
Publication Date:   13 May 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
Language:   Japanese

Table of Contents

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.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
 Shopping cart
Mailing List

 

Sign up now