Contents

Online Journal of Analytic Combinatorics

  • Research article

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

Fouad Bounebirat1, Diffalah Laissaoui2, Mourad Rahmani 1
1Faculty of Mathematics, USTHB, P.O. Box 32 El Alia 16111, Algiers, Algeria.
2Faculty of Science, University Yahia Farès Médéa, urban pole, 26000, Médéa, Algeria.
  • Published: 31/12/2018

Abstract

In this paper, we present several explicit formulas of the 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

Keywords: Bernoulli polynomials, explicit formula, generating function, Stirling numbers.
Citation
Fouad Bounebirat, Diffalah Laissaoui, Mourad Rahmani . Several explicit formula of sums and hyper-sums of powers of integers[J], Online Journal of Analytic Combinatorics, Issue 13, 2018. -. https://doi.org/10.61091/ojac-1304.