Regularized integral representations of the reciprocal Gamma function
Classical Analysis and ODEs
2018-10-30 v1
Abstract
This paper establishes a real integral representation of the reciprocal function in terms of a regularized hypersingular integral. The equivalence with the usual complex representation is demonstrated. A regularized complex representation along the usual Hankel path is derived.
Cite
@article{arxiv.1810.11720,
title = {Regularized integral representations of the reciprocal Gamma function},
author = {Dimiter Prodanov},
journal= {arXiv preprint arXiv:1810.11720},
year = {2018}
}
Comments
8 pages; 4 figures