English

A new entire factorial function

Classical Analysis and ODEs 2021-07-26 v1

Abstract

We introduce a new factorial function which agrees with the usual Euler gamma function at both the positive integers and at all half-integers, but which is also entire. We describe the basic features of this function.

Keywords

Cite

@article{arxiv.2107.11330,
  title  = {A new entire factorial function},
  author = {Matthew D. Klimek},
  journal= {arXiv preprint arXiv:2107.11330},
  year   = {2021}
}

Comments

3 pages, 2 figures

R2 v1 2026-06-24T04:28:10.586Z