Open AccessA new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties
Author(s) -
Waseem A. Khan,
Abdulghani Muhyi,
Rifaqat Ali,
Naeem Ahmad,
Manoj Prakash Singh,
Praveen Agarwal
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021731
Subject(s) - degenerate energy levels , mathematics , bernoulli number , bernoulli polynomials , pure mathematics , function (biology) , difference polynomials , combinatorics , orthogonal polynomials , discrete mathematics , physics , quantum mechanics , evolutionary biology , biology
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 .