Some evaluation of q-analogues of Euler sums
- Author(s)
- Ce Xu, Mingyu Zhang, Weixia Zhu
- Abstract
In this paper, we discuss the analytic representations of q-Euler sums which involve q-harmonic numbers through q-polylogarithms, either linearly or nonlinearly, and give explicit formulae for several classes of q-Euler sums in terms of q-polylogarithms and q-special functions. Furthermore, we develop new closed form representations of sums of quadratic and cubic parametric q-Euler sums. Finally, we can find that the q-Euler sums are reducible to the classical Euler sums when q approaches 1.
- Organisation(s)
- External organisation(s)
- Xiamen University
- Journal
- Monatshefte für Mathematik
- Volume
- 182
- Pages
- 957-975
- No. of pages
- 19
- ISSN
- 0026-9255
- DOI
- https://doi.org/10.1007/s00605-016-0915-z
- Publication date
- 04-2017
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101025 Number theory, 101002 Analysis
- Keywords
- ASJC Scopus subject areas
- Mathematics(all)
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/some-evaluation-of-qanalogues-of-euler-sums(59abcaf9-2763-4b1f-927b-184afe18934d).html