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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, \({}_2F_1\)
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