On the type 2 poly-Bernoulli polynomials associated with umbral calculus

Abstract

Type 2 poly-Bernoulli polynomials were introduced recently with the help of modified polyexponential functions. In this paper, we investigate several properties and identities associated with those polynomials arising from umbral calculus techniques. In particular, we express the type 2 poly-Bernoulli polynomials in terms of several special polynomials, like higher-order Cauchy polynomials, higher-order Euler polynomials, and higher-order Frobenius-Euler polynomials.

Keywords

• type 2 poly-bernoulli polynomials
• umbral calculus
• modified poly-exponential functions
• 11b83