Sums of Kapteyn series associated with Anger and Weber functions with coefficients involving trigonometric functions
Abstract
Some new sums of series involving the Anger and Weber functions, the order and argument of which depend on the summation index, as well as trigonometric and power or rational functions, are derived using complex analysis.
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Meromorphic and Entire Functions
Analytic and geometric function theory
Publication details
- Journal / source
- Integral Transforms and Special Functions
- Publisher
- Informa UK Limited
- Pages
- 1–23
- Publication date
- 26 January 2026
- Language
- EN