On an integral representation of a class of Kapteyn (Fourier-Bessel) series: Kepler's equation, radiation problems and Meissel's expansion

DOI10.1016/j.aml.2010.06.026zbMath1207.33008OpenAlexW2005823222MaRDI QIDQ993759

Domenico Frascino, Giuseppe Fedele, Alfredo Eisinberg, Andrea Ferrise

Publication date: 20 September 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.06.026

zbMATH Keywords

Bessel functionsKepler's problemKapteyn series

Mathematics Subject Classification ID

Two-body problems (70F05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (4)

On coefficients of Kapteyn-type series ⋮ On an integral representation of a class of Kapteyn (Fourier-Bessel) series: Kepler's equation, radiation problems and Meissel's expansion ⋮ A Sequence of Polynomials Generated by a Kapteyn Series of the Second Kind ⋮ Integral representation of first kind Kapteyn series

Cites Work

• On an integral representation of a class of Kapteyn (Fourier-Bessel) series: Kepler's equation, radiation problems and Meissel's expansion
• Heavy Traffic Analysis of a Markov-Modulated Queue with Finite Capacity and General Service Times
• A new Kapteyn series
• Kapteyn series arising in radiation problems
• Convergence acceleration during the 20th century
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On an integral representation of a class of Kapteyn (Fourier-Bessel) series: Kepler's equation, radiation problems and Meissel's expansion