Regularized integral representations of the reciprocal Gamma function

Dimiter Prodanov

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arXiv · 1810.11720

Regularized integral representations of the reciprocal Gamma function

Dimiter Prodanov

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Abstract

This paper establishes a real integral representation of the reciprocal $Γ$ 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.

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Dimiter Prodanov. 2018-10-27. Regularized integral representations of the reciprocal Gamma function. https://arxiv.org/abs/1810.11720

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