A note on trigonometric approximations of Bessel functions of the first kind, and trigonometric power sums-Reference-Cited by-同舟云学术

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

Published:2022-11-02 Issue: Volume: Page:
ISSN:2645-8845
Container-title:Fundamental Journal of Mathematics and Applications
language:en
Short-container-title:FUJMA

Author:

MOLİNARİ Luca Guido¹

Affiliation:

1. Universita` degli Studi di Milano

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.

Publisher

Fundamental Journal of Mathematics and Applications

Subject

Materials Chemistry

Reference24 articles.

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