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arXiv · 2206.05334

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

Luca Guido Molinari
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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 the 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.

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Luca Guido Molinari. 2022-06-10. A note on trigonometric approximations of Bessel functions of the first kind and trigonometric power sums. https://doi.org/10.33401/fujma.1166846

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