Generalized Hypergeometric Equation: Transformations And Group Theoretical Aspects (Iph001)

The aims and objectives of this book are to present a unified approach to the study of special functions of mathematics, which are ubiquitous and essential to a formulation of any physical or engineering problem in a mathematical format. In this detailed monograph, the second order Ordinary Differential Equation of Carl Friedrich Gauss is the starting point for the study of special functions. This is a simple, unified and novel approach to the treatment of the subject. The new feature in this presentation is that of the group theory associated with special functions. Generalized Hypergeometric Functions: Transformations and group theoretical aspects outlines the important relationship between the Gauss hypergeometric equation and corresponding special functions. Each chapter details the application of group theory to the study of special functions and discusses various transformations, group theory, and their relevance In various applications. It is a relatively self-contained book that includes extensive introductory expositions of group theory. Offering an original approach to the hypergeometric equation and related function, this book is important for fundamental understanding of the mathematics underlying various aspects of physics, applied mathematics, and engineering. With the use of worked examples, proofs, summaries and references, this work can be used in various courses of study and research, and it is also useful for self-study. Book jacket.

• | Author: K Srinivasa Rao, Dr Vasudevan Lakshminarayanan
• | Publisher: Iop Publishing Ltd
• | Publication Date: Jan 01, 2019
• | Number of Pages: 200 pages
• | Language: English
• | Binding: Hardcover/Science
• | ISBN-10: 075031494X
• | ISBN-13: 9780750314947