Representations of functions in series with parameter
Complex Variables
2022-12-12 v1
Abstract
We prove a short general theorem which immediately implies some classical results of Hasse, Guillera and Sondow, Paolo Amore, and also Alzer and Richards. At the end we obtain a new representation for the Euler constant gamma. The theorem transforms every Taylor series into a series depending on a parameter.
Cite
@article{arxiv.2212.04907,
title = {Representations of functions in series with parameter},
author = {Khristo N. Boyadzhiev},
journal= {arXiv preprint arXiv:2212.04907},
year = {2022}
}