The modified degenerate q-Bernoulli polynomials arising from p-adic invariant integral on Z(p)

Abstract

Dolgy et al. introduced the modified degenerate Bernoulli polynomials, which are different from Carlitz's degenerate Bernoulli polynomials (see Dolgy et al. in Adv. Stud. Contemp. Math. (Kyungshang) 26(1):1-9, 2016). In this paper, we study some explicit identities and properties for the modified degenerate q-Bernoulli polynomials arising from the p-adic invariant integral on Z(p).