Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials

[摘要] The polyexponential functions were introduced by Hardy and rediscovered by Kim, as inverses to the polylogarithm functions. Recently, the type 2 poly-Bernoulli numbers and polynomials were defined by means of the polyexponential functions. In this paper, we introduce the degenerate polyexponential functions and the degenerate type 2 poly-Bernoulli numbers and polynomials, as degenerate versions of such functions and numbers and polynomials. We derive several explicit expressions and some identities for those numbers and polynomials.

[学科分类] 航空航天科学

[关键词] Degenerate polyexponential functions;Type 2 degenerate poly-Bernoulli polynomials;Type 2 degenerate poly-Bernoulli numbers