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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