Pick functions related to the triple gamma function

DOI10.1016/j.jmaa.2017.05.080zbMath1370.33003OpenAlexW2622392151MaRDI QIDQ2014084

Sourav Das, Anbhu Swaminathan, Henrik Laurberg Pedersen

Publication date: 10 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.05.080

zbMATH Keywords

multiple gamma functionPick functionlogarithm functionStieltjes integral representation

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Integrals of Riemann, Stieltjes and Lebesgue type (26A42)

Related Items (1)

A complete monotonicity property of the multiple gamma function

Cites Work

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• A one-parameter family of Pick functions defined by the Gamma function and related to the volume of the unit ball in $n$-space
• Multiple Gamma Functions and Their Applications
• Open problems
• A completely monotone function related to the gamma function

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