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, Dr. Rao and Dr. Lakshminarayanan
present a unified approach to the study of special functions of mathematics using
Group theory. The 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 by both
experienced researchers and novice students.
With a Ph.D. 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. He has also been very active in math outreach
activities highlighting the life and work of the Indian mathematician
Dr. Vasudevan Lakshminarayanan has a Ph.D. in from the University of California
at Berkley and is currently a professor at The University of Waterloo. Having
worked on a vast number of areas including optical sciences, applied math, electrical
and biomedical engineering, ophthalmology and numerous other topics, Dr.
Lakshminarayanan has published over 300 papers, journal articles, and