Explicit evaluation of some integrals involving polylogarithm functions

DOI10.1080/10652469.2021.1935923OpenAlexW3167979958WikidataQ114099301 ScholiaQ114099301MaRDI QIDQ5071332

Rusen Li

Publication date: 21 April 2022

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

Full work available at URL: https://arxiv.org/abs/2103.11839

zbMATH Keywords

recurrence relationzeta functionpolylogarithm function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other functions defined by series and integrals (33E20)

Cites Work

• Unnamed Item
• Euler sums and integrals of polylogarithm functions
• On some series containing \(\psi{}(x)-\psi{}(y)\) and \((\psi{}(x)- \psi{}(y))^ 2\) for certain values of \(x\) and \(y\)
• Integrals of polylogarithmic functions with negative argument
• Identities for the multiple zeta (star) values
• Generalized alternating hyperharmonic number sums with reciprocal binomial coefficients
• Some results on multiple polylogarithm functions and alternating multiple zeta values
• Abel's lemma on summation by parts and basic hypergeometric series
• Euler Sums and Contour Integral Representations
• Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
• Integrals of polylogarithmic functions with alternating argument
• General order Euler sums with rational argument
• POLYLOGARITHMIC CONNECTIONS WITH EULER SUMS

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