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arXiv · 2005.03874

On Alzer-Kwong's Identities for Bernoulli polynomials

Min-Soo Kim·Daeyeoul Kim·Ji Suk So
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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 $\mathbb Z_p$ of the Bernoulli polynomials to establish recurrence relations on the integrands. Also, some known identities are obtained by our approach.

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Min-Soo Kim, Daeyeoul Kim, Ji Suk So. 2020-05-08. On Alzer-Kwong's Identities for Bernoulli polynomials. https://arxiv.org/abs/2005.03874

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