Some evaluation of \(q\)-analogues of Euler sums

DOI10.1007/s00605-016-0915-zzbMath1358.05034OpenAlexW2344357491MaRDI QIDQ521622

Mingyu Zhang, Ce Xu, Weixia Zhu

Publication date: 11 April 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-016-0915-z

zbMATH Keywords

\(q\)-Euler sums\(q\)-polylogarithm function\(q\)-Riemann zeta function

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) (zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) (q)-gamma functions, (q)-beta functions and integrals (33D05) Numerical summation of series (65B10) Zeta and (L)-functions: analytic theory (11M99) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

Some evaluations of parametric Euler type sums of harmonic numbers ⋮ Euler sums of generalized hyperharmonic numbers ⋮ Some results on \(q\)-harmonic number sums ⋮ On \(q\)-analogues of quadratic Euler sums ⋮ Explicit evaluations of sums of sequence tails ⋮ SOME EXPLICIT PROPERTIES OF (p, q)-ANALOGUE EULER SUM USING (p, q)-SPECIAL POLYNOMIALS ⋮ Some evaluations of infinite series involving parametric harmonic numbers

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