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A note on trigonometric approximations of Bessel functions of the first kind and trigonometric power sums (2206.05334v1)
Published 10 Jun 2022 in math.GM
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.