Certain logarithmic integrals and associated Euler sums

DOI10.1016/J.JMAA.2024.128365zbMATH Open1540.11112MaRDI QIDQ6558302

Junesang Choi, N. Batir

Publication date: 19 June 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Higher logarithm functions (33B30)

Cites Work

• On some series containing \(\psi{}(x)-\psi{}(y)\) and \((\psi{}(x)- \psi{}(y))^ 2\) for certain values of \(x\) and \(y\)
• Four parametric linear Euler sums
• On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier-Legendre expansions
• A family of shifted harmonic sums
• Series containing squared central binomial coefficients and alternating harmonic numbers
• Euler Sums and Contour Integral Representations
• Remarks on Some Integrals and Series Involving the Stirling Numbers and ζ(n)
• Euler-like sums via powers of log, arctan and arctanh functions
• A natural companion to Catalan's constant
• Parameterized families of polylog integrals
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)

This page was built for publication: Certain logarithmic integrals and associated Euler sums

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6558302)