A Note on Type-Two Degenerate Poly-Changhee Polynomials of the Second Kind

Abstract

In this paper, we first define type-two degenerate poly-Changhee polynomials of the second kind by using modified degenerate polyexponential functions. We derive new identities and relations between type-two degenerate poly-Changhee polynomials of the second kind. Finally, we derive type-two degenerate unipoly-Changhee polynomials of the second kind and discuss some of their identities.

Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable

“…In [3], Kim and Kim introduced unipoly function. In the view of [9], the degenerate unipoly function is defined by Dolgy and Khan [19] as follows:…”

A note on partially degenerate Hermite-Bernoulli polynomials of the first kind

“…S 1 (j, k)ξ k , (j 0), (see [1][2][3][4][5][6][7][8][9][10]). (1.14) and as an inversion formula of (1.13), the Stirling numbers of the the second kind is given by (see [3,[5][6][7][8][9][10][11]):…”

Evaluation of the Poly-Jindalrae and Poly-Gaenari Polynomials in Terms of Degenerate Functions

“…Moreover, recent years have witnessed a surge in research on various degenerate versions of special polynomials and numbers, reigniting the interest of mathematicians in diverse categories of special polynomials and numbers [2,[7][8][9][10]. Notably, Kim and Kim [11] as well as Dolgy and Khan [12] revisited the polyexponential functions in connection with polylogarithm functions, building upon the foundational work initiated by Hardy [13].…”