English

A note on an extension of Gelfond's constant

Classical Analysis and ODEs 2020-07-28 v2

Abstract

The aim of this note is to provide a natural extension of Gelfond's constant eπe^\pi using a hypergeometric function approach. An extension is also found for the square root of this constant. A few interesting special cases are presented.

Keywords

Cite

@article{arxiv.2007.10161,
  title  = {A note on an extension of Gelfond's constant},
  author = {A. K. Rathie and R. B. Paris},
  journal= {arXiv preprint arXiv:2007.10161},
  year   = {2020}
}

Comments

6 pages, 0 figures