A generalized polygamma function

DOI10.1080/10652460310001600573zbMath1052.33002arXivmath/0305079OpenAlexW2118525260MaRDI QIDQ4822854

Victor H. Moll, Olivier Espinosa

Publication date: 25 October 2004

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305079

zbMATH Keywords

Mellin transformzeta functiondigamma functionbalanced negapolygamma functionsclassical gamma function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Gamma, beta and polygamma functions (33B15) Other special orthogonal polynomials and functions (33C47)

Related Items (8)

Derivation of logarithmic integrals expressed in teams of the Hurwitz zeta function ⋮ Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals ⋮ Determinants of Laplacians for constant curvature metrics with three conical singularities on the 2-sphere ⋮ Reflection properties of zeta related functions in terms of fractional derivatives ⋮ Unnamed Item ⋮ The evaluation of Tornheim double sums. II ⋮ Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect ⋮ The evaluation of Tornheim double sums. I.

Cites Work

• Polygamma functions of negative order
• On some integrals involving the Hurwitz zeta function. I
• On some integrals involving the Hurwitz zeta function. II
• Easy proofs of Riemann’s functional equation for $\zeta (s)$ and of Lipschitz summation
• Polygamma Functions of Arbitrary Order
• On Some Families of Integrals Solvable in Terms of Polygamma and Negapolygamma Functions
• Unnamed Item
• Unnamed Item

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