Some identities of the degenerate Bernoulli polynomials of the second kind arising from λ-Sheffer sequences

Abstract

Korobov introduced the first degenerate version of the Bernoulli polynomials of the second kind called Bernoulli polynomials of the second kind. Recently, degenerate versions of such polynomials as Bernoulli polynomials, Euler polynomials and Genocchi polynomials and so on were introduced by the many researchers. The aim of this paper is to represent the degenerate Bernoulli polynomials of the second kind by other polynomials using the λ-umbral calculus. ? 2021 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.