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OverviewIn 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 DetailsAuthor: 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: 9780750314947ISBN 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 ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsDedications 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 ReferencesReviewsAuthor InformationWith 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. Tab Content 6Author Website:Countries AvailableAll regions |