A note on trigonometric approximations of Bessel functions of the first kind, and trigonometric power sums

Year 2022, Volume: 5 Issue: 4, 266 - 272, 01.12.2022

Luca Guido Molinari

https://doi.org/10.33401/fujma.1166846

Abstract

I reconsider the approximation of Bessel functions with finite sums of trigonometric functions, in the light of recent evaluations of Neumann-Bessel series with trigonometric coefficients. A proper choice of angle allows for an efficient choice of the trigonometric sum. Based on these series, I also obtain straightforward non-standard evaluations of new parametric sums with powers of cosine and sine functions.

Keywords

Bessel functions, Neumann series, Trigonometric approximations, Trigonometric power sum

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