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Special functions for applied scientists mathai, haubold [pdf]

# Special Functions for Applied Scientists by A M Mathai, H J Haubold

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Special Functions for Applied Scientists written by A M Mathai, H J Haubold.
The lecture notes are written up in a style for self-study. Each topic is developed from first principles with lots of worked examples and exercises. Hence the material in this book can be used for self-study and will help anyone to understand the basic ideas in the area of Special Functions and Functions of Matrix Argument and they will be able to make use of these results in their own problems in applied areas, especially in Statistics, Physics and Engineering problems. Applications in various areas are illustrated in this book. Insights into recent developments in the applications of fractional calculus, in the developments in various other topics are also given in the book so that the readers who are interested in any of the topics discussed in the book can directly go into a research problem in the topics.
Introduces elementary classical special functions. Gamma, beta, psi, zeta functions, hypergeometric functions and the associated special functions, generalizations to Meijer's G and Fox's H-functions are examined here. Discussion is confined to basic properties and selected applications. Introduction to statistical distribution theory is provided. Some recent extensions of Dirichlet integrals and Dirichlet densities are discussed. A glimpse into multivariable special functions such as Appell's functions and Lauricella functions

Book Detail :-
Title: Special Functions for Applied Scientists
Edition:
Author(s): A M Mathai, H J Haubold
Publisher: Dover Publications
Series:
Year: 2008
Pages: 479
Type: PDF
Language: English
ISBN: 0387758933,9780387758930
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 :-
Special Functions for Applied Scientists written by A M Mathai, H J Haubold cover the following topics.
1. Basic Ideas of Special Functions and Statistical Distributions
2. Mittag-Leffler Functions and Fractional Calculus
3. An Introduction to q-Series
4. Ramanujan’s Theories of Theta and Elliptic Functions
5. Lie Group and Special Functions
6. Applications to Stochastic Process and Time Series
7. Applications to Density Estimation
8. Applications to Order Statistics
9. Applications to Astrophysics Problems
10. An Introduction toWavelet Analysis
11. Jacobians of Matrix Transformations
12. Special Functions of Matrix Argument
References
Author Index
Subject Index

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