Some applications of degenerate poly-Bernoulli numbers and polynomials

In this paper, we consider degenerate poly-Bernoulli numbers and polynomials associated with a polylogarithmic function and a p -adic invariant integral on <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>ℤ</m:mi> <m:mi>p</m:mi> </m:msub> </m:math> {Zₚ} . By using umbral calculus, we derive some identities of those numbers and polynomials.