TY - EJOU
AU - Jang, Lee-Chae
AU - Kim, Dae San
AU - Kim, Hanyoung
AU - Kim, Taekyun
AU - Lee, Hyunseok
TI - Study of Degenerate Poly-Bernoulli Polynomials by λ-Umbral Calculus
T2 - Computer Modeling in Engineering \& Sciences
PY -
VL -
IS -
SN - 1526-1506
AB - 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.
KW - Degenerate poly-Bernoulli polynomials; degenerate polyexponential functions; λ-umbral calculus
DO - 10.32604/cmes.2021.016917