Handbook of Mellin Transforms

Yury A. Brychkov, Oleg Marichev, Nikolay V. Savischenko

© 2019 - Chapman and Hall/CRC
October 10, 2018 Forthcoming
Reference - 587 Pages
ISBN 9781138353350 - CAT# K395513
Series: Advances in Applied Mathematics

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Oleg Marichev is well known among Mathematica users

Summary

The Mellin transformation was introduced by Finnish mathematician Robert Hjalmar Mellin. It is widely used in various problems of pure and applied mathematics. It found extensive applications in mathematical physics, number theory, mathematical statistics, theory of asymptotic expansions, and especially, in the theory of special functions and integral transformations. Using the Mellin transformation, many classical integral transforms can be represented as compositions of direct and inverse Laplace transforms. Since the majority of integrals can be reduced to the form of the corresponding Mellin transforms, the book is also a handbook of definite and indefinite integrals.