Lee-Chae Jang1, Dae San Kim2, Hanyoung Kim3, Taekyun Kim3,*, Hyunseok Lee3
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.1, pp. 393-408, 2021, DOI:10.32604/cmes.2021.016917
Abstract Recently, degenerate poly-Bernoulli polynomials are defined in terms of degenerate polyexponential functions by
Kim-Kim-Kwon-Lee. The aim of this paper is to further examine some properties of the degenerate poly-Bernoulli
polynomials by using three formulas from the recently developed ‘λ-umbral calculus.’ In more detail, we represent
the degenerate poly-Bernoulli polynomials by Carlitz Bernoulli polynomials and degenerate Stirling numbers of
the first kind, by fully degenerate Bell polynomials and degenerate Stirling numbers of the first kind, and by higherorder degenerate Bernoulli polynomials and degenerate Stirling numbers of the second kind. More >
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