106 citations · 573 across the 226 of their papers we have counts for
229 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…
Generalized Bell polynomial operators arising from generalized normal ordering
Taekyun Kim, Dae san Kim
This paper explores the deformed combinatorial structures arising from the generalized Heisenberg algebra GHA which is characterized by an analytic function of the Hamiltonian f(H)…
Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra
Taekyun Kim, Dae San Kim
This paper investigates the degenerate generalized Stirling operators of the first kind bridging a gap in the operational calculus of the generalized Heisenberg algebra GHA unified…
A note on Leibniz rule for difference quotient
Taekyun Kim, Dae san Kim
In this note, we derive a Leibniz rule for difference quotient.