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

Diffalah Laissaoui; Fouad Bounebirat; Mourad Rahmani

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

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arxiv 1712.07208 v1 pith:MVFUMINI submitted 2017-12-19 math.NT

Fouad Bounebirat , Diffalah Laissaoui , Mourad Rahmani This is my paper · ORCID

classification math.NT

keywords explicithyper-sumspowersseveralsumstermsarithmeticbernoulli

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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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