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Related papers: On the q-Euler numbers and polynomials with weight…

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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 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

The purpose of this paper is to construct q-Euler numbers and polynomials by using p-adic q-integral equations on Zp. Finally, we will give some interesting formulae related to these q-Euler numbers and polynomials.

Number Theory · Mathematics 2009-11-11 Taekyun Kim

In the recent paper the interesting q-Euler numbers and polynomials introduced in JMAA. The purpose of this paper is to construct the modified q-Euler numbers and polynomiasl. Finally we will give the interesting many identities related to…

Number Theory · Mathematics 2007-05-23 T. Kim

In this paper we consider the weighted q-Bernoulli numbers and polynomials which are differnt type of Carlitz's q-Bernoulli numbers and polynomials. From these numbers and polynomials, we derive some interesting formulaes and identities.

Number Theory · Mathematics 2010-11-25 Taekyun Kim

In this paper we will investigate properties of modified q-Euler numbers and polynomials. The main purpose of this paper is to construct p-adic q-Euler measures.

Number Theory · Mathematics 2007-05-23 Hacer Ozden , Y. Simsek , I. N. Cangul , S. H. Rim

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 derivative operator. Also, we show between the q-Euler…

Number Theory · Mathematics 2013-08-14 Serkan Araci , Mehmet Acikgoz , Jong Jin Seo

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 the present paper, we investigate special generalized q-Euler numbers and polynomials. Some earlier results of T. Kim in terms of q-Euler polynomials with weight alpha can be deduced. For presentation of our formulas we apply the method…

Number Theory · Mathematics 2018-07-23 Serkan Araci , Mehmet Acikgoz , Hassan Jolany

In this paper we give some relation involving values of q-Bernoulli, q-Euler and Bernstein polynomials. From these relations, we obtain some interesting identities on the q-Bernoulli, q-Euler and Bernstein polynomials.

Number Theory · Mathematics 2015-05-27 A. Bayad , T. Kim

The purpose this paper is to present a systemic study of some families of multiple q-Euler numbers and polynomials and we construct multiple q-zeta function which interpolates multiple q-Euler numbers at negative integers.

Number Theory · Mathematics 2009-12-25 Taekyun 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 the new q-extension of Frobenius-Euler numbers and polynomials and we derive some interesting identities from the orthogonality type properties for the new q-extension of Frobenius-Euler polynomials. Finally we…

Number Theory · Mathematics 2013-07-08 Taekyun Kim

Thw purpose of this paper is to present a systemic study of some families of the generalized q-Euler numbers and polynomials of higher order.

Number Theory · Mathematics 2009-12-25 Taekyun Kim

In this paper we study the genralized q-Euler numbers and polynomials. From our results, we derive some interesting congruences related tothe generalized q-Euler numbers.

Number Theory · Mathematics 2009-10-15 Kyoung-Ho Park , Young-Hee Kim , Taekyun Kim

In ths paper we discuss the new concept of the q-extension of Genocchi numbers and give the some relations between q-Genocchi polynomials and q-Euler numbers.

Number Theory · Mathematics 2007-05-23 Taekyun Kim

The purpose of this paper is to give some new identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials.

Number Theory · Mathematics 2009-12-31 Taekyun Kim

We construct the q-analogue of Euler-Barnes' numbers and polynomials, and investigate their some properties.

Number Theory · Mathematics 2007-05-23 Taekyun Kim , Lee-Chae Jang

Recently the new q-Euler numbers are defined. In this paper we derive the the Kummer type congruence related to q-Euler numbers and we introduce some interesting formulae related to these q-Euler numbers.

Number Theory · Mathematics 2008-08-08 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
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