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

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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Publication Details

Journal
Integral Transforms and Special Functions
Published
2026-09-04
DOI
https://doi.org/10.1080/10652469.2026.2727664
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00
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article

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

A.V. Kargovsky
Integral Transforms and Special Functions
Meromorphic and Entire Functions
article

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

A.V. Kargovsky
article en

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.

Integral Transforms and Special Functions
Lomonosov Moscow State University (RU)
Openalex Percentile: Top 6%
Meromorphic and Entire Functions
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