Log-sine-polylog integrals and alternating Euler sums
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-019-00975-w
Abstract: The log-sine-polylog integrals were introduced by J. M. Borwein and A. Straub during their studies on special values of the log-sine integrals. In this paper we evaluate some of the log-sine-polylog integrals and show that… read more here.
Keywords: polylog integrals; alternating euler; log sine; euler sums ... See more keywords
Four parametric linear Euler sums
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123661
Abstract: Abstract In this paper, firstly, we aim to investigate analytic continuations of altogether four types of parametric linear Euler sums, by using the Euler-Maclaurin summation formula and the Euler-Boole summation formula. Secondly, we show how… read more here.
Keywords: euler; formula; linear euler; euler sums ... See more keywords
Euler sums and Stirling sums
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.08.037
Abstract: Abstract In this paper, using the Bell polynomials and the methods of generating function and integration, we establish various mixed Euler sums and Stirling sums, and present a unified approach to determining the evaluations of… read more here.
Keywords: sums stirling; euler sums; stirling sums; sums weight ... See more keywords