Some observations on a Kapteyn series
classification
🧮 math.CA
keywords
seriesinftykapteynlimitsanalyzebeginexpansionconvergencedisplaystyle
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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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