Fouad Bounebirat, Diffalah Laissaoui, Mourad Rahmani
Abstract
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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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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.
Key concepts: Sums of powers, Mathematics, Bernoulli number, Stirling numbers of the first kind, Stirling numbers of the second kind, Stirling number, Sequence (biology), Bernoulli polynomials