Gauss Hypergeometric Function

Special Matrix Functions, q-Special Functions

Ravi Dwivedi

• Publisher: De Gruyter
• Year: 2024
• eBook ISBN: 9783111324616
• Edition: 0
• Topic: Physical Sciences
• Subtopic: Engineering General

This book presents a novel journey of the Gauss hypergeometric function and contains the different versions of the Gaussian hypergeometric function, including its classical version. In particular, the $q$-Gauss or basic Gauss hypergeometric function, Gauss hypergeometric function with matrix arguments, Gauss hypergeometric function with matrix parameters, the matrix-valued Gauss hypergeometric function, the finite field version, the extended Gauss hypergeometric function, the $(p, q)$- Gauss hypergeometric function, the incomplete Gauss hypergeometric function and the discrete analogue of Gauss hypergeometric function.
All these forms of the Gauss hypergeometric function and their properties are presented in such a way that the reader can understand the working algorithm and apply the same for other special functions. This book is useful for UG and PG students, researchers and faculty members working in the field of special functions and related areas.

Table of contents

• Title Page
• Copyright
• Contents
• Preface
• 1 Classical Gauss hypergeometric function
• 2 Basic Gauss hypergeometric function
• 3 Gauss hypergeometric function with matrix arguments
• 4 Gauss hypergeometric matrix function
• 5 Finite field analogue of the Gauss hypergeometric function
• 6 Extended Gauss hypergeometric functions
• 7 Other popular forms of a Gauss hypergeometric function
• Subject Index