paper

An explicit Formula for Bernoulli Polynomials with a Parameter in Terms of -Whitney Numbers

arXiv:1804.05437 · doi:10.18576/jant/060202

Abstract

We define the Bernoulli polynomials with a parameter in terms of -Whitney numbers of the second kind. Some algebraic properties and combinatorial identities of these polynomials are given. Also, we obtain several relations between the Cauchy and Bernoulli polynomials with a parameter in terms of -Whitney numbers of both kinds.

6 pages

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