A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties

The main object of this article is to present type 2 degenerate poly-Bernoulli polynomials of the second kind and numbers by arising from modified degenerate polyexponential function and investigate some properties of them. Thereafter, we treat the type 2 degenerate unipoly-Bernoulli polynomials of...

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Published inAIMS mathematics Vol. 6; no. 11; pp. 12680 - 12697
Main Authors Khan, Waseem A., Muhyi, Abdulghani, Ali, Rifaqat, Alzobydi, Khaled Ahmad Hassan, Singh, Manoj, Agarwal, Praveen
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
degenerate unipoly functions
modified degenerate polyexponential functions
type 2 degenerate poly-bernoulli polynomials of the second kind
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Summary:The main object of this article is to present type 2 degenerate poly-Bernoulli polynomials of the second kind and numbers by arising from modified degenerate polyexponential function and investigate some properties of them. Thereafter, we treat the type 2 degenerate unipoly-Bernoulli polynomials of the second kind via modified degenerate polyexponential function and derive several properties of these polynomials. Furthermore, some new identities and explicit expressions for degenerate unipoly polynomials related to special numbers and polynomials are obtained. In addition, certain related beautiful zeros and graphical representations are displayed with the help of Mathematica .
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021731