On Taylor series and Kapteyn series of the first and second type

Details On Taylor series and Kapteyn series of the first and second type On Taylor series and Kapteyn series of the first and second type

2010-12-16

arxiv.org/abs/1012.3700v1

Mathematics

Classical Analysis and ODEs

17 pages

Scientific paper

We study the relation between the coefficients of Taylor series and Kapteyn
series representing the same function. We compute explicit formulas for
expressing one in terms of the other and give examples to illustrate our
method.

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