Overview

In 1813, Gauss first outlined his studies of the hypergeometric series, which has been of great significance in the mathematical modelling of physical phenomena. This detailed monograph outlines the fundamental relationships between the hypergeometric function and special functions. In nine comprehensive chapters, Rao and Lakshminarayanan present a unified approach to the study of special functions of mathematics using group theory. This book offers fresh insight into various aspects of special functions and their relationship, utilizing transformations and group theory and their applications. It will lay the foundation for deeper understanding for both experienced researchers and novice students.   

Full Product Details

Author:   K Srinivasa Rao (Andhra University, India) ,  Dr Vasudevan Lakshminarayanan (University of Waterloo)
Publisher:   Institute of Physics Publishing
Imprint:   Institute of Physics Publishing
Dimensions:   Width: 17.80cm , Height: 1.40cm , Length: 25.40cm
Weight:   0.606kg
ISBN:  

9780750314947

ISBN 10:   075031494
Pages:   224
Publication Date:   24 October 2018
Audience:   General/trade ,  Professional and scholarly ,  General ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Dedications Preface Bios  Acknowledgements Chapter 1: Hypergeometric Series Chapter 2: Group Theory : Basics Chapter 3: Group Theory of the Kummer solutions of the Gauss differential equation Chapter 4: Group theory of terminating and non-terminating 3F2(a; b; c; d; e; 1) transformations Chapter 5: Angular Momentum and the Rotation group Chapter 6: Angular Momentum recoupling and sets of 4F3(1)s Chapter 7: Double and Triple Hypergeometric series Chapter 8: Beta Integral Method and Hypergeometric transformations Chapter 9: Gauss, Hypergeometric Series and Ramanujan References

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Author Information

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.

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