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Related papers: Identities of symmetry for higher-order q-Euler po…

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In this paper, we derive eight basic identities of symmetry in three variables related to $q$-Euler polynomials and the $q$-analogue of alternating power sums. These and most of their corollaries are new, since there have been results only…

Number Theory · Mathematics 2010-04-12 Dae San Kim

In this paper, we derive eight basic identities of symmetry in three variables related to generalized Euler polynomials and alternating generalized power sums. All of these are new, since there have been results only about identities of…

Number Theory · Mathematics 2010-03-23 Dae San Kim

In this paper, we derive eight basic identities of symmetry in three variables related to Euler polynomials and alternating power sums. These and most of their corollaries are new, since there have been results only about identities of…

Number Theory · Mathematics 2010-03-18 Dae San Kim , Kyoung Ho Park

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 integers. From our investigation, we can derive many…

Number Theory · Mathematics 2013-12-18 D. V. Dolgy , D. S. Kim , T. G. Kim , J. J. Seo

In this paper, we derive eight basic identities of symmetry in three variables related to $q$-Bernoulli polynomials and the $q$-analogue of power sums. These and most of their corollaries are new, since there have been results only about…

Number Theory · Mathematics 2010-03-18 Dae San 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 Euler polynomials.

Number Theory · Mathematics 2013-12-17 Dae San Kim , Taekyun Kim

By the symmetric properties of Drichlet's type multiple q-l-function, we establish various identities concerning the generalized higher-order q-Euler polynomials. Furthermore, we give some interesting relationship between the power sums and…

Number Theory · Mathematics 2013-12-31 Dae San Kim , Taekyun Kim

In this paper, we investigate some symmetric properties of the multivariate p-adic fermionic integrals on Zp and derive various identities concerning the expansions of q-Euler polynomials from the symmetric properties of the multivariate…

Number Theory · Mathematics 2014-01-15 Dae San Kim , Tae Gyun Kim

The purpose of this paper is to give some symmetric identities of higher-order degenerate Euler polynomials derived from the symmetric properties of the multivariate p-adic fermionic integrals on Zp.

Number Theory · Mathematics 2017-04-14 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 investigate some new symmetric identities for the q-Euler polynomials under the symmetric group of degree n which are derived from fermionic p-adic q-integrals on Zp.

Number Theory · Mathematics 2015-04-23 Dmitry V. Dolgy , Dae San Kim , Taekyun Kim

The main purpose of this paper is to prove an identity of symmetry for the Frobenius-Euler polynomials.

Number Theory · Mathematics 2008-04-30 Taekyun Kim

The purpose of this paper is to give symmetric identities for higher-order degenerate q- Bernoulli polynomials arising from the p-adic q-integral on Zp.

Number Theory · Mathematics 2016-08-18 Taekyun Kim , Hyuck-In Kwon

In this paper, we derive eight basic identities of symmetry in three variables related to generalized Bernoulli polynomials and generalized power sums. All of these are new, since there have been results only about identities of symmetry in…

Number Theory · Mathematics 2010-03-18 Dae San kim

In this paper, we derive eight basic identities of symmetry in three variables related to Bernoulli polynomials and power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in…

Number Theory · Mathematics 2010-03-18 Dae San Kim , Kyoung Ho Park

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

Recently, the higher-order Carlitz's q-Bernoulli polynomials are represented as q-Volkenborn integral on Zp by Kim. A question was asked in [13] as to finding the extended formulaeof symmetries for Bernoulli polynomials which are related to…

Number Theory · Mathematics 2014-01-14 Dae San Kim , Taekyun Kim

Recently, Kim-Kim Introduced some interesting identities of symmetry for q-Bernoulli polynomials under symmetry group of degree n. In this paper, we study the degenerate q-Euler polynomials and derive some identities of symmetry for these…

Number Theory · Mathematics 2016-08-02 D. V. Dolgy , T. Kim , L. -C. Jang , H. -I Kwon

In this paper we establish two symmetric identities on sums of products of Euler polynomials.

Combinatorics · Mathematics 2010-04-02 Yong Zhang , Zhi-Wei Sun , Hao Pan

Recently, the higher-order q-Euler polynomials and multiple q-Euler zeta functions are introduced by T. Kim ([8, 9]). In this paper, we investigate some symmetric properties of the multiple q-Euler zeta function and derive various…

Number Theory · Mathematics 2013-12-30 Dae San Kim , Taekyun Kim
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