106 citations · 2k across the 259 of their papers we have counts for
261 papers
A study of degenerate Bernoulli and Euler numbers via operators
Taekyun Kim, Dae san Kim
The paper introduces novel classes of operators and investigates their applications to the study of special numbers. We utilize these operators to derive explicit expressions for d…
On Generalized Chebyshev polynomials
Taekyun Kim, Dae San Kim
In this paper, we introduce and study a novel family of generalized Chebyshev polynomials defined via a rational generating function. We demonstrate that the classical Chebyshev po…
Study on Morgan-Voyce type polynomials with Euler-Seidel algorithm
Taekyun Kim, Dae san Kim
This paper bridges the domains of degenerate special polynomials, the Euler-Seidel matrix method, and Morgan-Voyce polynomials. We introduce two new families of Morgan-Voyce type p…
Probabilistic degenerate Dowling polynomials associated with random variables
Taekyun Kim, Dae San Kim
The aim of this paper is to study probabilistic versions of the degenerate Whitney numbers of the second kind and those of the degenerate Dowling polynomials, namely the probabilis…
Some identities on degenerate harmonic and degenerate higher-order harmonic numbers
Taekyun Kim, Dae San Kim
The harmonic numbers and higher-order harmonic numbers appear frequently in several areas which are related to combinatorial identities, many expressions involving special function…
New approach to -stirling numbers
Dae san Kim, Hye Kyung Kim, Taekyun Kim
The aim of this paper is to study the -Stirling numbers of both kinds which are -analogues of Stirling numbers of both kinds. Those numbers have nice combinatorial interpreta…