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H function by mathai, saxena, haubold [pdf]

The H-Function: Theory and Applications by A M Mathai, Ram Kishore Saxena, Hans J Haubold

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The H-Function: Theory and Applications written by Arak M Mathai, Ram Kishore Saxena, Hans J Haubold.
The H-function or popularly known in the literature as Fox’s H-function has recently found applications in a large variety of problems connected with reaction, diffusion, reaction–diffusion, engineering and communication, fractional differential and integral equations, many areas of theoretical physics, statistical distribution theory, etc. One of the standard books and most cited book on the topic is the 1978 book of Mathai and Saxena. Since then, the subject has grown a lot, mainly in the fields of applications. Due to popular demand, the authors were requested to upgrade and bring out a revised edition of the 1978 book. It was decided to bring out a new book, mostly dealing with recent applications in statistical distributions, pathway models, nonextensive statistical mechanics, astrophysics problems, fractional calculus, etc. and to make use of the expertise of Hans J. Haubold in astrophysics area also.
It was decided to confine the discussion to H-function of one scalar variable only. Matrix variable cases and many variable cases are not discussed in detail, but an insight into these areas is given. When going from one variable to many variables, there is nothing called a unique bivariate or multivariate analogue of a given function. Whatever be the criteria used, there may be many different functions qualified to be bivariate or multivariate analogues of a given univariate function. Some of the bivariate and multivariate H-functions, currently in the literature, are also questioned by many authors. Hence, it was decided to concentrate on one variable case and to put some multivariable situations in an appendix; only the definitions and immediate properties are given here.

Book Detail :-
Title: The H-Function: Theory and Applications
Edition:
Author(s): Arak M Mathai, Ram Kishore Saxena, Hans J Haubold
Publisher: Springer-Verlag New York
Series:
Year: 2010
Pages: 283
Type: PDF
Language: English
ISBN: 9781441909152,144190915X,1441909168,9781441909169
Country: India
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Arak Mathai Arakaparampil Mathai "Arak" Mathai (born 1935) is an Indian mathematician who has worked in Statistics, Applied Analysis, Applications of special functions and Astrophysics. Mathai established the Centre for Mathematical Sciences, Palai, Kerala, India.
He has published more 25 books and more than 300 research publications. In 1998 he received the Founder Recognition Award from the Statistical Society of Canada. He is a Fellow of the National Academy of Sciences, India and a Fellow of the Institute of Mathematical Statistics. After completing his high school education in 1953 from St. Thomas High School, Palai with record marks he joined St. Thomas College, Palai and obtained his B Sc. degree in Mathematics in 1957. In 1959 he completed his master's degree in Statistics from University of Kerala, Thiruvananthapuram, Kerala, India with first class, first rank and gold medal. Then he joined St. Thomas College, Palai, University of Kerala, as a lecturer in Statistics and served there till 1961. He obtained Canadian Commonwealth scholarship in 1961 and went to University of Toronto, Canada for completing his MA degree in Mathematics in 1962. He was awarded PhD from University of Toronto, Canada in 1964. Then he joined McGill University, Canada as an Assistant Professor till 1968. From 1968 to 1978 he was an Associate Professor there. He became a Full Professor of McGill in 1979 and served the Department of Mathematics and Statistics until 2000. From 2000 onwards he was an Emeritus Professor of McGill University.

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Book Contents :-
The H-Function: Theory and Applications written by Arak M Mathai, Ram Kishore Saxena, Hans J Haubold cover the following topics.
1. OntheH-FunctionWith Applications
2. H-Function in Science and Engineering
3. Fractional Calculus
4. Applications in Statistics
5. Functions of Matrix Argument
6. Applications in Astrophysics Problems
Appendix
Bibliography
Glossary of Symbols
Author Index
Subject Index

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