Some observations on a Kapteyn series

Diego Dominici

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Some observations on a Kapteyn series

Diego Dominici

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Abstract

We study the Kapteyn series $% %TCIMACRO{\dsum \limits_{n=1}^{\infty}}% %BeginExpansion {\displaystyle\sum\limits_{n=1}^{\infty}} %EndExpansion t^{n}\mathrm{J}_{n}(nz) $. We find a series representation in powers of $z$ and analyze its radius of convergence.

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BibTeX RIS

Diego Dominici. 2005-10-03. Some observations on a Kapteyn series. https://arxiv.org/abs/math/0510050

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