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In this paper, we investigate some properties of the associated sequence of Daehee and Changhee polynomials. Finally, we give some interesting identities of associated sequence involving some special polynomials.

Number Theory · Mathematics 2013-01-29 D. S. Kim , T. Kim , S. -H. Rim

In this paper, we consider several special polynomials related to associated sequences of polynomials. Finally, we give some new and interesting identities of those polynomials arising from transfer formula for the associated sequences.

Number Theory · Mathematics 2013-02-01 Taekyun Kim , Dae San Kim

In this paper, we study some properties of associated sequaences in umbral calculus. From these properties, we derive new and interesting identities of several kinds of polynomials.

Number Theory · Mathematics 2012-11-19 Dae San Kim , Taekyun Kim , Seog-Hoon Rim

Our paper deals about identities involving Bell polynomials. Some identities on Bell polynomials derived using generating function and successive derivatives of binomial type sequences. We give some relations between Bell polynomials and…

Combinatorics · Mathematics 2008-06-24 Miloud Mihoubi

In this paper, certain mixed special polynomial families associated with Appell sequences are introduced and their properties are established. Further, operational rules providing connections between these families and the known special…

Classical Analysis and ODEs · Mathematics 2016-02-16 Subuhi Khan , Nusrat Raza , Mahvish Ali

In this paper, we study some properties of Sheffer sequences for the powers of Sheffer pairs under umbral composition. From our properties we derive new and interesting identities of Sheffer sequences of special polynomials for the powers…

Number Theory · Mathematics 2013-04-01 Dae San Kim , Taekyun Kim

In this paper we derive some interesting identities arising from the orhtogonality of gegenbauer polynomials.

Number Theory · Mathematics 2012-08-01 Dae San Kim , Taekyun Kim , Seog-Hoon Rim

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 polynomials.

Number Theory · Mathematics 2014-03-19 Dae San Kim , Taekyun Kim , Jong Jin Seo

We study an infinite class of sequences of sparse polynomials that have binomial coefficients both as exponents and as coefficients. This generalizes a sequence of sparse polynomials which arises in a natural way as graph theoretic…

Classical Analysis and ODEs · Mathematics 2020-08-05 Karl Dilcher , Maciej Ulas

In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus. From our investigation, we can derive many interesting identities of several polynomials

Number Theory · Mathematics 2013-02-21 Taekyun Kim , Dae San Kim , Seog-Hoon Rim , Dmitry V. Dolgy

The aim of this short note is to show how can be derived from the properties of fundamental interpolation polynomials some nice identities.

History and Overview · Mathematics 2014-12-23 Sorin G. Gal

In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.

Number Theory · Mathematics 2011-01-14 Abdelmejid Bayad , Taekyun Kim , Byunje Lee , Seog-Hoon Rim

In this paper, we present a general framework for the derivation of interesting finite combinatorial sums starting with certain classes of polynomial identities. The sums that can be derived involve products of binomial coefficients and…

Combinatorics · Mathematics 2025-04-02 Kunle Adegoke , Robert Frontczak , Karol Gryszka

In this paper, we study linear differential equations arising from Bessel polynomials and their applications. From these linear differential equations, we give some new and explicit identities for Bessel polynomials.

Number Theory · Mathematics 2016-10-04 Taekyun Kim , Dae san Kim

In this article we shows some results about algebra with the group of units having special polynomial identity.

Rings and Algebras · Mathematics 2019-07-29 Claudenir Freire Rodrigues , Ramon Codamo B. da Costa

We investigate some interesting properties of Bernstein polynomials associated with boson p-adic integrals on Zp.

Number Theory · Mathematics 2010-09-02 M. S. Kim , T. Kim , B. Lee , C. S. Ryoo

In this paper, we study some symmetric identities of q-Euler numbers and polynomials. From these properties, we derive several identities of q-Euler numbers and polynomials.

Number Theory · Mathematics 2013-10-08 Dae San Kim , Taekyun Kim

We identify the Atkin polynomials in terms of associated Jacobi polynomials. Our identificationthen takes advantage of the theory of orthogonal polynomials and their asymptotics to establish many new properties of the Atkin polynomials.…

Number Theory · Mathematics 2016-01-20 Ahmad El-Guindy , Mourad E. H. Ismail

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 identities on Chebyshev polynomials.

Number Theory · Mathematics 2016-02-18 Taekyun Kim , Dae san kim , Jong-Jin Seo , Dmitry V. Dolgy

In this paper, we consider various speical mixed-type polynomials which are related to Bernoulli, Euler, Changhee and Daehee polynomials. From those polynomials, we derive some interesting and new identities

Number Theory · Mathematics 2014-06-10 Dae San Kim , Taekyun Kim , Hyucj In Kwon
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