The double gamma function and related Pick functions.

DOI10.1016/S0377-0427(02)00604-0zbMath1116.30302MaRDI QIDQ1874173

Henrik Laurberg Pedersen

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Pick functionIntegral representationDouble gamma function

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Gamma, beta and polygamma functions (33B15) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15) Asymptotic representations in the complex plane (30E15)

Related Items (2)

Canonical products of small order and related Pick functions ⋮ Pick functions related to the triple gamma function

Cites Work

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• Pick functions related to entire functions having negative zeros
• Certain classes of series involving the zeta function
• Pick functions related to the gamma function.
• An asymptotic expansion of the double gamma function
• A completely monotone function related to the gamma function

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