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

Authors : Luca Guido Molinari

Pages : 266-272

Doi:10.33401/fujma.1166846

View : 16 | Download : 7

Publication Date : 2022-12-01

Article Type : Research

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