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

Fouad Bounebirat; Diffalah Laissaoui; Mourad Rahmani

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arXiv · 1712.07208

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

Fouad Bounebirat·Diffalah Laissaoui·Mourad Rahmani

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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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Fouad Bounebirat, Diffalah Laissaoui, Mourad Rahmani. 2017-12-19. Several explicit formulae of sums and hyper-sums of powers of integers. https://arxiv.org/abs/1712.07208

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