Regularized integral representations of the reciprocal Gamma function

2018/10/27 by Dimiter Prodanov, Prodanov, Dimiter
Mathematics · #30D10 #33B15 #65D20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:30D10 #msc:33B15 #msc:65D20

paper · pdf · doi:10.48550/arxiv.1810.11720

8 pages; 4 figures

arxiv created 2018/10/27 · arxiv updated 2018/10/30

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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