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

Autor: Molinari, Luca Guido
Rok vydání: 2022
Předmět:
Zdroj: Fundamental Journal of Mathematics and Applications 5 (4) (2022) 266-272
Druh dokumentu: Working Paper
DOI: 10.33401/fujma.1166846
Popis: 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.
Comment: 9 pages
Databáze: arXiv