Several explicit formula of sums and hyper-sums of powers of integers. (English) Zbl 1407.11042
Summary: In this paper, we present several explicit 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.
MSC:
11B73 | Bell and Stirling numbers |
11B68 | Bernoulli and Euler numbers and polynomials |
33C05 | Classical hypergeometric functions, \({}_2F_1\) |