On Alzer-Kwong's Identities for Bernoulli polynomials

preprint2020arXivOpen access

Abstract

In this paper, we prove new identities for Bernoulli polynomials that extend Alzer and Kwong's results. The key idea is to use the Volkenborn integral over Zp\mathbb Z_p of the Bernoulli polynomials to establish recurrence relations on the integrands. Also, some known identities are obtained by our approach.

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