Study of Degenerate Poly-Bernoulli Polynomials by lambda-Umbral Calculus
- 주제(키워드) 도움말 Degenerate poly-Bernoulli polynomials , degenerate polyexponential functions , lambda-umbral calculus
- 발행기관 TECH SCIENCE PRESS
- 발행년도 2021
- 총서유형 Journal
- 본문언어 영어
초록/요약 도움말
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 lambda-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 higher-order degenerate Bernoulli polynomials and degenerate Stirling numbers of the second kind.
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