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About this book :-
Handbook of Mellin Transforms written by
Yury Brychkov, Oleg Marichev, Nikolay Savischenko.
The Mellin transformation is widely used in various problems of pure and applied mathematics, in particular, in the theory of differential and integral equations and the theory of Dirichlet series. It is found in extensive applications in mathematical physics, number theory, mathematical statistics, theory of asymptotic expansions, and especially, in the theory of special functions and integral transformations. It is essentially used in algorithms of integration in computer algebra systems.
Since the majority of integrals encountered in applications can be reduced to the form of the corresponding Mellin transforms with specific parameters, this handbook can also be used for definite and indefinite integrals. By changes in variables, the Mellin transform can be turned into the Fourier and Laplace transforms.
The appendices contain formulas of connection with other integral transformations, and an algorithm for determining regions of convergence of integrals.
Book Detail :-
Title: Handbook of Mellin Transforms
Edition:
Author(s): Yury Brychkov, Oleg Marichev, Nikolay Savischenko
Publisher: CRC Press
Series: Advances in Applied Mathematics
Year: 2019
Pages: 609
Type: PDF
Language: English
ISBN: 1138353353,9781138353350
Country: Russia
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About Author :-
Yury Aleksandrovich Brychkov is born Feb-1944 in Moscow. He is a Russian mathematician. He graduated from Moscow State University in 1966 and worked on quantum field theory at the Steklov Mathematical Institute of the Russian Academy of Sciences, under the supervision of Yuri Mikhailovich Shirokov. He received his PhD in 1971 and he has been with the Dorodnicyn Computing Centre of the Russian Academy of Sciences since 1969.
Yu. Brychkov has worked on various topics in pure mathematics, and he has made contributions to the fields of special functions and integral transforms. He has also worked on the computer implementation of special functions at the University of Waterloo, Maplesoft, and Wolfram Research. He is a founding editor of the Journal of Integral Transforms and Special Functions, and has authored a number of handbooks, including the five volume Integrals and Series (Gordon and Breach Science Publishers, 1986–1992).
All Famous Books of this Author :-
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• Download PDF Handbook of Special Functions: Derivatives, Integrals, Series by Yury A. Brychkov
• Download PDF Handbook of Special Functions: Derivatives, Integrals, Series by Yury A. Brychkov
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Book Contents .-
Handbook of Mellin Transforms written by
Yury Brychkov, Oleg Marichev, Nikolay Savischenko
cover the following topics.
Preface
1. General Formulas
2. Elementary Functions
3. Special Functions
Appendix I. Some Properties of the Mellin Transforms
Appendix II. Conditions of Convergence
Bibliography
Index of Notations for Functions and Constants
Index of Notations for Symbols
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