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Aleksandr A. Bryzgalov

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Aleksandr A. Bryzgalov

WSEAS Transactions on Mathematics

Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018

Integral Relations for Bessel Functions and Analytical Solutions for Fourier Transform in Elliptic Coordinates

AUTHORS: Aleksandr A. Bryzgalov

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ABSTRACT: The work continues the development of Fourier transform in elliptic coordinates. Several analytical results for elementary and special functions have been obtained. In fact these are the new relations for the integral representation for the multiplication of two Bessel functions of zero order. We analyze the natural restrictions of application of these formulae. Also we provide the recommendations based on the numerical analysis for the using of obtained results.

KEYWORDS: Integral transform, Integral representation, Axial symmetry, Numerical integration, Numerical analysis, Rapidly oscillating functions


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WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #26, pp. 205-212

Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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