Generalized Hypergeometric Functions (eBook)

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.

Dedications

Preface

Bios (not sure where?)

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