A review of procedures for summing Kapteyn series in mathematical physics

DOI10.1155/2009/425164zbMath1204.85002OpenAlexW2086760695WikidataQ58646964 ScholiaQ58646964MaRDI QIDQ606093

R. C. Tautz, Ian Lerche

Publication date: 16 November 2010

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223198

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Electromagnetic fields in general relativity and gravitational theory (83C50) Geometry and quantization, symplectic methods (81S10) Galactic and stellar structure (85A15) Radiative transfer in astronomy and astrophysics (85A25) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02) Research exposition (monographs, survey articles) pertaining to astronomy and astrophysics (85-02)

Related Items (1)

Integral representation of first kind Kapteyn series

Cites Work

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• Further results on generalized Kapteyn-type expansions
• On the sums of a family of Kapteyn series
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• Generalized Neumann and Kapteyn expansions
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• Dissipation of Currents in Ionized Media
• Terahertz-sideband spectra involving Kapteyn series
• New sum rule for products of Bessel functions with application to plasma physics
• A new Kapteyn series
• Kapteyn series arising in radiation problems
• Convergence acceleration during the 20th century

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