On theorems connecting Mellin and Hankel transforms
نویسندگان
چکیده
منابع مشابه
Similarity theorems for fractional Fourier transforms and fractional Hankel
The significance of the similarity theorem for the fractional Fourier transform is discussed, and the properties of self-similar functions considered. The concept of the fractional Hankel transform is developed for use in the analysis of diffraction and imaging in symmetrical optical systems. The particular case of Fresnel diffraction from a circular aperture is discussed and the effects of the...
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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: Journal of Classical Analysis
سال: 2019
ISSN: 1848-5987
DOI: 10.7153/jca-2019-15-12