Bounebirat, Fouad; Laissaoui, Diffalah; Rahmani, Mourad Several explicit formula of sums and hyper-sums of powers of integers. (English) Zbl 1407.11042 Online J. Anal. Comb. 13, Article 4, 9 p. (2018). Summary: In this paper, we present several explicit sums and hypersums of the powers of the first \((n+1)\)-terms of a general arithmetic sequence in terms of Stirling numbers and generalized Bernoulli polynomials. Cited in 2 Documents MSC: 11B73 Bell and Stirling numbers 11B68 Bernoulli and Euler numbers and polynomials 33C05 Classical hypergeometric functions, \({}_2F_1\) Keywords:Bernoulli polynomials; explicit formula; generating function; Stirling numbers PDFBibTeX XMLCite \textit{F. Bounebirat} et al., Online J. Anal. Comb. 13, Article 4, 9 p. (2018; Zbl 1407.11042) Full Text: arXiv Link