On Taylor series and Kapteyn series of the first and second type
Classical Analysis and ODEs
2010-12-17 v1
Abstract
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.
Cite
@article{arxiv.1012.3700,
title = {On Taylor series and Kapteyn series of the first and second type},
author = {Diego Dominici},
journal= {arXiv preprint arXiv:1012.3700},
year = {2010}
}
Comments
17 pages