matrix methods and fractional calculus arak mathai [pdf]

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matrix methods and fractional calculus arak mathai [pdf]

Matrix Methods and Fractional Calculus by Arak M Mathai, Hans J Haubold

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About this book :-
Matrix Methods and Fractional Calculus written by A M Mathai, H J Haubold.
The material is useful for people who do research work in the areas of special functions, fractional calculus, applications of fractional calculus, and mathematical statistics, especially the multivariate and matrix-variate statistical distributions, tests of hypotheses, etc. Since the material is based on lecture notes, the material is also good for someone to get into these areas for their research work.

Book Detail :-
Title: Matrix Methods and Fractional Calculus
Edition:
Author(s): A M Mathai, H J Haubold
Publisher: World Scientific
Series:
Year: 2018
Pages: 288
Type: PDF
Language: English
ISBN: 9813227524,9789813227521
Country: India
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About Author :-
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.

Book Contents :-
Matrix Methods and Fractional Calculus written by A M Mathai, H J Haubold cover the following topics.
Preface
Acknowledgments
List of Symbols
1. Vector/Matrix Derivatives and Optimization
2. Jacobians of Matrix Transformations
3. Fractional Calculus and Special Functions
4. Fractional Calculus and Fractional Differential Equations
5. Kober Fractional Calculus and Matrix-Variate Functions
6. Lie Theory and Special Functions
7. Selected Topics in Multivariate Analysis
Acknowledgments
Bibliography
Author Index
Subject Index