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Cited 29 time in webofscience Cited 40 time in scopus
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Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomialsopen access

Authors
Kim, TaekyunKim, Dae SanKwon, JongkyumLee, Hyunseok
Issue Date
19-Apr-2020
Publisher
SPRINGER
Keywords
Degenerate polyexponential functions; Type 2 degenerate poly-Bernoulli polynomials; Type 2 degenerate poly-Bernoulli numbers
Citation
ADVANCES IN DIFFERENCE EQUATIONS, v.2020, no.1
Indexed
SCIE
SCOPUS
Journal Title
ADVANCES IN DIFFERENCE EQUATIONS
Volume
2020
Number
1
URI
https://scholarworks.bwise.kr/gnu/handle/sw.gnu/6712
DOI
10.1186/s13662-020-02636-7
ISSN
1687-1839
Abstract
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.
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