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Recently, Araci-Acikgoz-Sen derived some interesting identities on weighted q-Euler polynomials and higher-order q-Euler polynomials from the applications of umbral calculus (See [1]). In this paper, we develop the new method of q-umbral…

Number Theory · Mathematics 2013-07-01 Dae San Kim , Taekyun Kim

In this paper, we investigate some properties of q-Bernoulli polynomi- als arising from q-umbral calculus. Finally, we derive some interesting identities of q-Bernoulli polynomials from our investigation.

Number Theory · Mathematics 2013-07-01 Dae san Kim , Taekyun Kim

In this paper, we study some properties of Euler polynomials arising from umbral calculus. Finally, we give some interesting identities of Euler polynomials using our results. Recently, Dere and Simsek have studied umbral calculus related…

Number Theory · Mathematics 2012-11-29 Dae San Kim , Taekyun Kim , Seog-Hoon Rim

In this paper, we study umbral calculus to have alternative ways of obtaining our results. That is, we derive some interesting identities of the higher-order Bernoulli, Euler and Hermite polynomials arising from umbral calculus to have…

Number Theory · Mathematics 2013-02-22 Taekyun Kim , Dae San Kim , Seog-Hoon Rim , Dmitry v. Dolgy

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

In this papier, by the classical umbral calculus method, we establish identities involving the Appell polynomials and extend some existing identities.

Number Theory · Mathematics 2017-09-14 Miloud Mihoubi , Said Taharbouchet

In this paper we give new identities involving q-Euler polynomials of higher order.

Number Theory · Mathematics 2015-05-14 Taekyun Kim , Y. H. Kim

In this paper, we study some properties of umbral calculus related to Appell sequence. From those properties, we derive new and interesting identities of Frobenius-Euler polynomials.

Number Theory · Mathematics 2012-11-30 Dae San Kim , Taekyun Kim

Recently, D. S. Kim and T. Kim have studied applications of um- bral calculus associated with p-adic invariant integrals on Zp (see [6]). In this paper, we investigate some interesting properties arising from umbral calculus. These…

Number Theory · Mathematics 2012-12-12 Dae San Kim , Taekyun Kim

In this paper, we give some interesting identities of poly-Cauchy numbers and polynomials arising from umbral calculus.

Number Theory · Mathematics 2013-07-22 Dae San Kim , Taekyun Kim

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

In this paper, we give some interesting identities of higher-order Bernoulli, Frobenius-Euler and Euler polynomials arising from umbral calculus. From our method of this paper, we can derive many interesting identities of special…

Number Theory · Mathematics 2013-02-27 Taekyun Kim , Dae San Kim

In this paper, we give some recurrence formula and new and interesting identities for the poly-Bernoulli numbers and polynomials which are derived from umbral calculus.

Number Theory · Mathematics 2013-07-01 Dae san Lom , Taekyun Kim

In this paper, we investigate some identities of Laguerre polynomials involving Bernoulli and Euler polynomials which are derived from umbral calculus.

Number Theory · Mathematics 2015-06-12 Taekyun Kim

In this paper we investigate some interesting formulae of q-Euler numbers and polynomials related to the modified q-Bernstein polynomials.

Number Theory · Mathematics 2010-07-21 Min-soo Kim , Daeyeoul Kim , Taekyun Kim

In this paper, by using the orthogonality type as defined in the umbral calculus, we derive explicit formula for several well known polynomials as a linear combination of the Apostol-Euler polynomials.

Number Theory · Mathematics 2013-02-14 Taekyun Kim , Toufik Mansour , Seog-Hoon Rim

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 study degenerate ordered Bell polynomials with the viewpoint of Carlitz's degenerate Bernoulli and Euler polynomials and derive by using umbral calculus some properties and new identities for the degenerate ordered Bell…

Number Theory · Mathematics 2017-04-25 Taekyun Kim , Dae san Kim

In this paper we study q-Euler numbers and polynomials by using p-adic q-fermionic integrals on Z_p. The methods to study q-Euler numbers and polynomials in this paper are new.

Number Theory · Mathematics 2009-11-13 Taekyun Kim , Min-Soo Kim , Leechae Jang , Seog-Hoon 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
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