106 citations · 573 across the 226 of their papers we have counts for
11 papers · 2 filters
Convolved Fibonacci Numbers and their applications
Taekyun Kim, Dmitry V. Dolgy, Dae san Kim +1
In this paper, we present a new approach to the convolved Fibonacci numbers arising from the generating function of them and give some new and explicit identities for the convolved…
Symmetric identities for an analogue of Catalan polynomials
Taekyun Kim, Dae San Kim, Jong-Jin Seo
In this paper, we consider an analogue of Catalan polynomials and give some identities of symmetry for those polynomials by using fermionic -adic integrals on the ring of -ad…
Differential equations associated with Lambda-Changhee polynomials
Taekyun Kim, Dae San Kim
In this paper, we study linear differential equations arising from - Changhee polynomials (or called degenerate Changhee polynomials) and give some explicit and new identities f…
Nonlinear differential equation for Korobov numbers
Dae San Kim, Taekyun Kim, Hyuck In Kwon +1
In this paper, we present nonlinear differential equations for the generating functions for the Korobov numbers and for the Frobenuius-Euler numbers. As an application, we find an…
Some identities of Eulerian polynomials arising from nonlinear differential equations
Taekyun Kim, Dae San Kim
In this paper, we study nonlinear differential equations arising from Eulerian polynomials and their applications. From our study of nonlinear differential equations, we derive som…
Nonlinear differential equations arising from Boole numbers and their applications
Taekyun Kim, Dae San Kim
In this paper, we study nonlinear differential equations satisfied by the generating function of Boole numbers. In addition, we derive some explicit and new interesting identities…