The Laplace transform of the digamma function: An integral due to Glasser, Manna and Oloa

DOI10.1090/S0002-9939-08-09300-3zbMath1151.33003arXiv0707.3663OpenAlexW1999236244MaRDI QIDQ3522320

Victor H. Moll, Olivier Espinosa, Tewodoros Amdeberhane

Publication date: 1 September 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3663

zbMATH Keywords

Laplace transformdigamma function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (4)

Accurate Estimates of the Gamma Function Involving the PSI Function ⋮ Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results ⋮ Ramanujan summation and the exponential generating function \(\sum_{k=0}^{\infty}\frac{z^{k}}{k!}\zeta'(-k)\) ⋮ The Laplace transform of the psi function

Cites Work

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• On some integrals involving the Hurwitz zeta function. I
• The integrals in Gradshteyn and Ryzhik. Part9: Combinations of logarithms, rational and trigonometric functions
• The integrals in Gradshteyn and Rhyzik. Part 1: A family of logarithmic integrals
• The integrals in Gradshteyn and Rhyzik. Part 2: Elementary logarithmic integrals
• Integrals, an Introduction to Analytic Number Theory
• On an Intriguing Integral and Some Series Related to ζ(4)
• The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of Logarithms and Exponentials
• The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals

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