Article
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Preserved in Portico This version is not peer-reviewed
Regularized Integral Representations of the Reciprocal Gamma Function
Version 1
: Received: 24 December 2018 / Approved: 25 December 2018 / Online: 25 December 2018 (14:12:56 CET)
A peer-reviewed article of this Preprint also exists.
Prodanov, D. Regularized Integral Representations of the Reciprocal Gamma Function. Fractal Fract 2019, 3, 1. Prodanov, D. Regularized Integral Representations of the Reciprocal Gamma Function. Fractal Fract 2019, 3, 1.
Abstract
This paper establishes a real integral representation of the reciprocal $\Gamma$ 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.
Keywords
gamma function; reciprocal gamma function; integral equation
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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