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.
A note on trigonometric approximations of Bessel functions of the first kind, and trigonometric power sums / L.G. Moli̇nari̇. - In: FUNDAMENTAL JOURNAL OF MATHEMATICS AND APPLICATIONS. - ISSN 2645-8845. - 5:4(2022 Dec 01), pp. 266-272. [10.33401/fujma.1166846]
A note on trigonometric approximations of Bessel functions of the first kind, and trigonometric power sums
L.G. Moli̇nari̇
2022
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.File | Dimensione | Formato | |
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