Fully Degenerating of Daehee Numbers and Polynomials

Abstract

In this paper, we consider fully degenerate Daehee numbers and polynomials by using degenerate logarithm function. We investigate some properties of these numbers and polynomials. We also introduce higher-order multiple fully degenerate Daehee polynomials and numbers which can be represented in terms of Riemann integrals on the interval 0,1. Finally, we derive their summation formulae.

Spectral Solutions of Even-Order BVPs Based on New Operational Matrix of Derivatives of Generalized Jacobi Polynomials

“…Furthermore, orthogonal polynomials have been shown to be significant in both mathematical statistics and quantum physics. Many theoretical investigations regarding special functions were performed, see for example [5][6][7][8]. The classical orthogonal polynomials, which involve the Hermite, Laguerre, and Jacobi polynomials, are the orthogonal polynomials that are the most utilized polynomials, see for example [9][10][11].…”

Editorial for the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms”

“…In the paper [20], the author considers fully degenerate Daehee numbers and polynomials by using a degenerate logarithm function. We investigate some properties of these numbers and polynomials.…”