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The Mellin transform, an important integral transformations, may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is closely related to the Laplace transform and the Fourier transform, and the theory of the gamma function and allied special functions.
Table des matières
General Formulas
Elementary Functions
Special Functions
Appendix I: Some properties of the Mellin transforms
Appnedix II: Condtions of convergence
A propos de l'auteur
Yu.A. Brychkov, https://en.wikipedia.org/wiki/Yuri_Aleksandrovich_Brychkov, graduated from the Lomonosov Moscow State University. He was a post-graduate student in the Mathematical Institute of the Russian Academy of Sciences and has been at the Dorodnitsyn Computing Center of the Russian Academy of Sciences since 1969. He has published about 100 publications including 2 books and 7 handbooks in CRC (Gordon and Breach) including 5 volumes of "Integrals and Series" (together with A.P.Prudnikov and O.I.Marichev).
O.I. Marichev, https://en.wikipedia.org/wiki/Oleg_Marichev, Graduated from the Belorussian State University, he received the D.Sc. degree (Habilitation) in mathematics from the University of Jena, Germany. In 1991, he started working with Stephen Wolfram on Mathematica, developing integration and mathematical functions. He has authored about 70 publications, is an author and a co-author of 10 books and the well-known Wolfram Functions site http://- functions.wolfram.com/ with over 307,000 formulas (http://functions.wolfram.com/About/developers.html). His books include "Fractional Integrals and Derivatives. Theory and Applications." (Samko S.G., Kilbas A.A., Marichev O.I., 1987, 1993).
N.V.Savischenko, graduated from the Novosibirsk State University, and has been at the Military Telecommunications Academy since 1987, publishing nearly 100 articles and a book.
Résumé
The Mellin transform, an important integral transformations, may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is closely related to the Laplace transform and the Fourier transform, and the theory of the gamma function and allied special functions.
