Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

#### Keep Connect with Us

• =

MathSchool Search Box
• Welcome in Math School.
• This is beta verion of our website.

erdélyi–kober fractional calculus a m mathai [pdf]

### Erdélyi–Kober Fractional Calculus by A M Mathai, H J Haubold

MathSchoolinternational contain thousands of Mathematics Free Books and Physics Free Books. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other Best Free Math Websites for teachers and students.
Here is extisive list of Best Fractional Calculus Books . We hope students and teachers like these textbooks, notes and solution manuals.

Erdélyi–Kober Fractional Calculus written by A M Mathai, H J Haubold.
This book focuses on Erdélyi–Kober fractional calculus from a statistical perspective inspired by solar neutrino physics. Results of diffusion entropy analysis and standard deviation analysis of data from the Super-Kamiokande solar neutrino experiment lead to the development of anomalous diffusion and reaction in terms of fractional calculus. The new statistical perspective of Erdélyi–Kober fractional operators outlined in this book will have fundamental applications in the theory of anomalous reaction and diffusion processes dealt with in physics.
A major mathematical objective of this book is specifically to examine a new deﬁnition for fractional integrals in terms of the distributions of products and ratios of statistically independently distributed positive scalar random variables or in terms of Mellin convolutions of products and ratios in the case of real scalar variables. The idea will be generalized to cover multivariable cases as well as matrix variable cases. In the matrix variable case, M-convolutions of products and ratios will be used to extend the ideas. We then give a deﬁnition for the case of real-valued scalar functions of several matrices.

Book Detail :-
Title: Erdélyi–Kober Fractional Calculus
Edition:
Author(s): A M Mathai, H J Haubold
Publisher: Springer Singapore
Series: SpringerBriefs in Mathematical Physics
Year: 2018
Pages: 132
Type: PDF
Language: English
ISBN: 978-981-13-1158-1;978-981-13-1159-8
Country: India
Get this book from Amazon

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 :-
Erdélyi–Kober Fractional Calculus written by A M Mathai, H J Haubold cover the following topics.
1. Solar Neutrinos, Diffusion, Entropy, Fractional Calculus
2. Erdélyi-Kober Fractional Integrals in the Real Scalar Variable Case
3. Erdélyi-Kober Fractional Integrals in the Real Matrix-Variante Case
4. Erdélyi-Kober Fractional Integrals in the Many Real Scalar Variables Case
5. Erdélyi-Kober Fractional Integrals Involving Many Real Matrices
6. Erdélyi-Kober Fractional Integrals in the Complex Domain
References
Index

##### Best Fractional Calculus Books

Other Famous Books Topics:-

Other Topics:-

WORKSHEETS (Solved):-

SHORTCUT TRICKS (Division):-
Divison related shortcut Tricks

SHORTCUT TRICKS (Prime Number):-
Prime Number related shortcut Tricks