Integral representations of quantities associated with Gamma function

DOI10.13108/2021-13-4-50zbMath1499.33011OpenAlexW3213680238MaRDI QIDQ5067192

A. B. Kostin, V. B. Sherstyukov

Publication date: 1 April 2022

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa591

zbMATH Keywords

gamma functionasymptotic expansionintegral representationBinet formulaGauss formulacentral binomial coefficientenveloping series in complex planeMalmsten formula

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15)

Cites Work

• Asymptotic behavior of remainders of special number series
• Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results
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