AI & Computingarticle2026-09-04

Sums of Schlömilch series associated with Anger and Weber functions with coefficients containing trigonometric functions

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Abstract

Some new sums of series involving the Anger and Weber functions, the argument of which depends on the summation index, as well as trigonometric and power or rational functions, are derived in closed form using complex analysis.

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View paper (DOI)OpenAlexIntegral Transforms and Special FunctionsPublished 2026-09-04

Authors: A.V. Kargovsky

Institutions: Lomonosov Moscow State University