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\u2019s 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 . MSC: 11B68, 11S40, 11S80