The Gauss product and Raabe’s integral for k-gamma functions

József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367-8275
Volume 26, 2020, Number 4, Pages 122–127
DOI: 10.7546/nntdm.2020.26.4.122-127
Full paper (PDF, 156 Kb)

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Authors and affiliations

József Sándor
Department of Mathematics, Babes-Bolyai University
Cluj-Napoca, Romania

Abstract

We obtain an extension of the famous Gauss product formula to the case of k-gamma functions. The Sándor–Tóth short product formula [16] is also attended to these functions. An asymptotic formula and Raabe’s integral analogue are also considered.

Keywords

• Arithmetic function
• Gamma function
• k-gamma function

2010 Mathematics Subject Classification

• 11A25
• 33B15

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