Aleksandr A. Bryzgalov, "Integral Relations for Bessel Functions and Analytical Solutions for Fourier Transform in Elliptic Coordinates," WSEAS Transactions on Mathematics, vol. 17, pp. 205-212, 2018, DOI:
Aleksandr A. Bryzgalov. Integral Relations for Bessel Functions and Analytical Solutions for Fourier Transform in Elliptic Coordinates.
WSEAS Transactions on Mathematics. 2018;17:205-212.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
Integral Relations for Bessel Functions and Analytical Solutions for Fourier Transform in Elliptic Coordinates
Author:
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
Pages: 205-212 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #26 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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