K Srinivasa Rao, Vasudevan Lakshminarayanan

Generalized Hypergeometric Functions (eBook, ePUB)

Transformations and group theoretical aspects

• Format: ePub

Produktbeschreibung

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 functions, 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.

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Produktdetails

• Verlag: Institute of Physics Publishing
• Seitenzahl: 200
• Erscheinungstermin: 24. Oktober 2018
• Englisch
• ISBN-13: 9780750314961
• Artikelnr.: 56819341

Autorenporträt

With a PhD in theoretical physics from The Institute of Mathematical Sciences, Dr K Srinivasa Rao retired, from the same institute, as a senior professor. He has been a Humboldt Fellow and a visiting professor at various universities and research institutes worldwide and has contributed widely to both mathematics and theoretical physics. He has published a large number of books, journal articles and lecture notes, and he has also been very active in mathematics outreach activities highlighting the life and work of the Indian mathematician Ramanujan.

Dr Vasudevan Lakshminarayanan has a PhD from the University of California, Berkley, and is currently a professor at the University of Waterloo. Having worked in a vast number of areas including optical sciences, applied mathematics, electrical and biomedical engineering, ophthalmology and numerous other topics, Dr Lakshminarayanan has published more than 300 papers, journal articles and co-authored books.