Several explicit formulae of sums and hyper-sums of powers of integers

2017/12/19 by Bounebirat, Fouad, Laissaoui, Diffalah, Rahmani, Mourad · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1712.07208

Abstract

In this paper, we present several explicit formulas of the sums and hyper-sums of the powers of the first (n+1)-terms of a general arithmetic sequence in terms of Stirling numbers and generalized Bernoulli polynomials.

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