2019/08/19 by Kim, Taekyun, jang, Lee-Chae, Kim, Dae San +1
#11B68 #11S80 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1908.06587
I recent years, many mathematicians studied various degenerate version of some spcial polynomials of which quite a few interesting results were discovered. In this paper, we introduce the type 2 degenerate Bernoulli polynomials of the second kind and their higher-order analogues, and study some identities and expressions for these polynomials. Specially, we obtain a relation between the type 2 degenerate Bernoulli polynomials of the second kind and degenerate Bernoulli polynomials of the second kind, and identity involving hihger-order analogues of those polynomials and the degenerate stirling number of the second kin, and and expression of higher-order analogues of those polynomials in terms of the higher-order type 2 degenerate Bernoulli polynomials and the degenerate stirling number of the first kind.