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

Authors: Waseem A. Khan; Abdulghani Muhyi; Rifaqat Ali; Khaled Ahmad Hassan Alzobydi; Manoj Singh; Praveen Agarwal;

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

Abstract

<abstract><p>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 <italic>Mathematica</italic>.</p></abstract>

Keywords

degenerate unipoly functions, QA1-939, Bell and Stirling numbers, modified degenerate polyexponential functions, Bernoulli and Euler numbers and polynomials, type 2 degenerate poly-Bernoulli polynomials of the second kind, Mathematics, type 2 degenerate poly-bernoulli polynomials of the second kind, Exponential and trigonometric functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
25
Top 10%
Top 10%
Top 10%
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