19 citations · 58 across the 17 of their papers we have counts for
18 papers
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 for Changhee polynomials and their applications
Dmitry V. Dolgy, Dae san Kim, Taekyun Kim +1
Recently, the non-linear Changhee differential equations were introduced in [5] and these differential equations turned out to be very useful for studying special polynomials and m…
Some identities of Chebyshev polynomials arising from nonlinear differential equations
Taekyun Kim, Dae san kim, Jong-Jin Seo +1
In this paper, we investigate some properties of Chebyshev polynomials arising from non-linear differential equations. From our investigation, we derive some new and interesting id…
On the degenerate Forbenius-Euler polynomials
Taekyun Kim, Hyuck-In Kwon, Jong-Jin Seo
In this paper, we consider the degenerate Frobenius-Euler polynomials and investigate some identities of these polynomials.
On degenerate q-Euler polynomials
Dmitry V. Dolgy, Taekyun Kim, Jin-Woo Park +1
In this paper, we consider degenerate Carlitz's type q-Euler polynmials and numbers and we investigate some identities arising from the fermionic p-adic integral equations and the…
Fully degenerate poly-Bernoulli numbers and polynomials
Dae San Kim, Taekyun Kim
In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and investigate some properties of these polynomials and numbers. From our properties, w…
A note on poly-Bernoulli numbers and polynomials of the second kind
Taekyun Kim, Sang-Hun Lee, Jongjin Seo
In this paper, we consider the poly-Bernoulli numbers and polynomials of the second kind and presents new and explicit formulae for calculating the poly-Bernoulli numbers of the se…
A note on q-analogue of Boole polynomials
Dae San Kim, Taekyun Kim, Jong Jin Seo
In this paper, we consider the q-extensions of Boole polynomials. From those polynomials, we derive some new and interesting properties and identities related to special polynomial…
Identities of symmetry for higher-order generalized q-Euler polyonmials
D. V. Dolgy, D. S. Kim, T. G. Kim +1
In this paper, we investigate the properties of symmetry in two variables related to multiple Euler q-l-function which interpolates higher-order q-Euler polynomials at negative int…
Identities of symmetry for (h;q)-extension of higher-order Euler polynomials
Dae San Kim, Taekyun Kim
In this paper, we study some symmetric properties of the multiple q-Euler zeta function. From these properties, we derive several identities of symmetry for the (h;q)-extension of…
Higher-order Changhee numbers and polynomials
Dae San Kim, Taekyun Kim
In this paper, we consider the higher-order Changhee numbers and polynomials which are derived from the fermionic p-adic integral on Zp and give some relations between higher-order…
p-adic invariant integral on Zp associated with the Changhee q-Bernoulli polynomials
Jong Jin Seo, Taekyun Kim
In this paper, we study some properties of Changhee's q-Bernou lli polynomials which are derived from p-adic invariant integral on Zp. By using these properties, we give some inter…
Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with p-Laplacian operator
Erdoğan Şen, Mehmet Acikgoz, Jong Jin Seo +2
In this article, we consider the boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator. By the properties of Green function and Schauder fi…
A new family of q-analogue of Genocchi numbers and polynomials of higher order
Serkan Araci, Mehmet Acikgoz, Jong Jin Seo
In this work, we consider the generating function of Kim's q-Euler polynomials and introduce new generalization of q-Genocchi polynomials and numbers of higher order. Also, we give…
Hermite polynomials related to Genocchi, Euler and Bernstein polynomials
Serkan Araci, Jong Jin Seo, Mehmet Acikgoz
The objective of this paper is to derive some interesting properties of Genocchi, Euler and Bernstein polynomials by means of the orthogonality of Hermite polynomials.
Explicit Formulas involving q-Euler Numbers and Polynomials
Serkan Araci, Mehmet Acikgoz, Jong Jin Seo
In this paper, we deal with q-Euler numbers and q-Bernoulli numbers. We derive some interesting relations for q-Euler numbers and polynomials by using their generating function and…
A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions
Serkan Araci, Mehmet Açikgöz, Hassan Jolany +1
The purpose of this paper is to construct of the unification q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive th…