Higher Order Degenerate Hermite-Bernoulli Polynomials Arising from 𝑝-Adic Integrals on Z𝑝

Our principal interest in this paper is to study higher order degenerate Hermite-Bernoulli polynomials arising from multivariate p-adic invariant integrals on Z𝑝. We give interesting identities and properties of these polynomials that are derived using the generating functions and 𝑝-adic integral equations. Several familiar and new results are shown to follow as special cases. Some symmetry identities are also established.