Min-Soo Kim, Daeyeoul Kim, Ji Suk So
Published 2020-05-08Version 1
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.
On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-$p$ digits
Symmetric identities on Bernoulli polynomials
On the integral of the product of four and more Bernoulli polynomials
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