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Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm

Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm

Abstract Recently, degenerate polylogarithm functions were introduced by Kim and Kim. In this paper, we introduce degenerate poly-Bernoulli polynomials by means of the degenerate polylogarithm functions and investigate some their properties. In more detail, we find certain explicit expressions for those polynomials in terms of the Carlitz degenerate Bernoulli polynomials …