Mellin transforms of generalized fractional integrals and derivatives
نویسندگان
چکیده
منابع مشابه
Harmonic sums, Mellin transforms and Integrals
This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic series, binomial coefficients and denominators. In addition it treats Mellin transforms and the inverse Mellin transformation for functions that are encountered in Feynman diagram calculations. Together with results for the values of the higher harmonic series at infinity the presented algorithms can...
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My assignment is going to introduce the Mellin transform and its application on harmonic sums [1]. Hjalmar Mellin(1854-1933, [2] for a summary of his works) gave his name to the Mellin transform, a close relative of the integral transforms of Laplace and Fourier. Mellin transform is useful to the asymptotic analysis of a large class of sums that arise in combinatorial mathematics, discrete prob...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2015
ISSN: 0096-3003
DOI: 10.1016/j.amc.2014.12.067