The values of the high order Bernoulli polynomials at integers and the r-Stirling numbers

Published 23 Jan 2014 in math.NT | (1401.5958v1)

Abstract: In this paper, we exploit the r-Stirling numbers of both kinds in order to give explicit formulae for the values of the high order Bernoulli numbers and polynomials of both kinds at integers. We give also some identities linked the r-Stirling numbers and binomial coefficients.

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