Generalized log-sine integrals and Bell polynomials

DOI10.1016/j.cam.2018.08.026zbMath1460.33024arXiv1705.04723OpenAlexW2962711999MaRDI QIDQ1631445

Derek Orr

Publication date: 6 December 2018

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

Full work available at URL: https://arxiv.org/abs/1705.04723

zbMATH Keywords

combinatoricsRiemann zeta functionbinomial coefficientsharmonic numbersBell polynomiallog-sine integral

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Other functions defined by series and integrals (33E20) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (6)

Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions ⋮ Log-hyperbolic tangent integrals and Euler sums ⋮ Alternating multiple zeta values, and explicit formulas of some Euler-Apéry-type series ⋮ Two integrals involving the Legendre chi function ⋮ Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\) ⋮ EVALUATING LOG-TANGENT INTEGRALS VIA EULER SUMS

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