Logarithmic Integrals, Polylogarithmic Integrals and Euler sums

Abstract

Relations among integrals of logarithms, polylogarithms and Euler sums are presented. A unifying element being the introduction of Nielsen's generalized polylogarithms.

References in corpus (5)

• Structural Relations of Harmonic Sums and Mellin Transforms up to Weight w = 5
• Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms
• On Some Sums of Digamma and Polygamma functions - Version (2017) and Review
• Some definite logarithmic integrals from Euler sums, and other integration results
• Evaluation of some simple Euler-type series

Cited by in corpus (3)

• On an integral involving the digamma function
• Linear relations between logarithmic integrals of high weight and some closed-form evaluations
• Logarithmic integrals, zeta values, and tiered binomial coefficients