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About this book :-
Generalized Hypergeometric Functions With Applications In Statistics And Physical Sciences written by
A M Mathai, R K Saxena.
This book deals with generalized hypergeometric functions. The main topic is Meijer's G-function and its applications to various practical problems in Statistical Distributions, Prior and Posterior Distributions, Characterizations of Probability Laws. Hard Limiting of Several Sinusoidal Signals in Communication Theory, Conduction of Heat and Cooling and Dual integral Equations. This book gives a balanced treatment of theory and applications. Out of the seven chapters the last three are devoted to applications.
Book Detail :-
Title: Generalized Hypergeometric Functions With Applications In Statistics And Physical Sciences
Edition:
Author(s): A M Mathai, R K Saxena
Publisher:
Series:
Year: 2008
Pages: 321
Type: PDF
Language: English
ISBN: 3-540-06482-6,0-387-06482-6
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.
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 de?nition 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 de?nition for the case of real-valued scalar functions of several matrices.
All Famous Books of this Author :-
Here is list all books/editions avaliable of this author, We recomended you to download all.
• Download PDF Linear Algebra: A Course for Physicists and Engineers by Arak Mathai, H J Haubold
• Download PDF Jacobians of Matrix Transformations and Functions of Matrix Argument by A M Mathai
• Download PDF Quadratic Forms in Random Variables by A M Mathai, S B Provost
• Download PDF Probability and Statistics: A Course for Physicists and Engineers by A M Mathai, H J Haubold
• Download PDF Probability and Statistics by Arak Mathai, P N Rathie
• Download PDF Erdélyi–Kober Fractional Calculus by A M Mathai, H J Haubold
• Download PDF Fractional & Multivariable Calculus by A M Mathai, H J Haubold
• Download PDF Fractional & Multivariable Calculus by A M Mathai, H J Haubold
• Download PDF Generalized Hypergeometric Functions by A M Mathai, R K Saxena
• Download PDF Special Functions for Applied Scientists by A M Mathai, H J Haubold
• Download PDF The H-Function: Theory and Applications by A M Mathai, Ram Kishore Saxena, Hans J Haubold
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Book Contents :-
Generalized Hypergeometric Functions With Applications In Statistics And Physical Sciences written by
A M Mathai, R K Saxena
cover the following topics.
1. MEIJER'S G-FUNCTION
2. PARTICULAR CASES OF MEIJER'S G-FUNCTION
3. INTEGRALS OF G-FUNCTIONS
4. FINITE AND INFINITE SERIES OF G-FUNCTIONS
5. COMPUTABLE REPRESENTATIONS OF A G-FUNCTION IN THE LOGARITH~YC CASE
6. APPLICATION OF G-FUNCTION IN STATISTICS
7. OTHER APPLICATIONS OF THE G-FUNCTION
Exercises
Bibliography
APPENDIX: Orders of the Special Functions for Large and Small Values of the Argument
Index of Symbols
Author Index
Subject Index
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