Some identities on the higher-order-twisted q -Euler numbers and polynomials with weight α

Hui Young Lee; Nam Soon Jung; Jung Yoog Kang; Cheon Seoung Ryoo

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Some identities on the higher-order-twisted q -Euler numbers and polynomials with weight α

机译：高阶扭曲q -Euler数和权重为a的多项式的一些恒等式

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In this article, we introduce some properties of higher-order-twisted q-Euler numbers and polynomials with weight α, and we observe some properties of higher-order-twisted q-Euler numbers and polynomials with weight α for several cases. In particular, by using the the fermionic p-adic q-integral on ? p , we give a new concept of twisted q-Euler numbers and polynomials with weight α. 2000 Mathematics Subject Classification: 11B68; 11S40; 11S80.

机译：在本文中，我们介绍了加权为α的高阶加捻的q-Euler数和多项式的一些性质，并在几种情况下观察了加权为α的高阶加捻的q-Euler数和多项式的一些性质。特别地，通过在α上使用铁离子对二元q-积分p，我们给出了一个扭曲的q-Euler数和权重为α的多项式的新概念。 2000年数学学科分类：11B68; 11S40; 11S80。

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《Advances in Difference Equations》 |2012年第1期|共10页
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Hui Young Lee; Nam Soon Jung; Jung Yoog Kang; Cheon Seoung Ryoo;
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1. Some identities on the twisted q-Euler numbers with weight (α, β) and q-Bernstein polynomials with weight α [J] . Ryoo C.S. Journal of computational analysis and applications . 2013,第5期

机译：权重（α，β）的扭曲q-Euler数和权重α的q-Bernstein多项式的某些恒等式
2. Some identities on the generalized twisted q-Euler polynomials with weak weight [J] . Cheon Seoung Ryoo International mathematical forum . 2016,第5a8期

机译：权重较弱的广义扭曲q-Euler多项式的一些恒等式
3. Symmetry identities related to the generalized twisted q-Euler polynomials with weak weight lpha [J] . P. Yiarayong, R. Tanjaroenrat International journal of algebra . 2015,第5期

机译：与具有弱权重 alpha的广义扭曲q-Euler多项式有关的对称恒等式
4. The 3-input Euler polynomial neuronet (3IEPN) with weights-and-structure-determination (WASD) algorithm [C] . Zhang Yunong, Li Weibing, Yu Xiaotian, Modelling, Identification amp; Control (ICMIC), 2012 Proceedings of International Conference on . 2012

机译：具有权重和结构确定（WASD）算法的3输入欧拉多项式神经网络（3IEPN）
5. Weighted polynomial and rational approximation with varying weights. [D] . Simeonov, Plamen C. 1997

机译：加权多项式和具有不同权重的有理逼近。
6. Some symmetric identities for the generalized Bernoulli Euler and Genocchi polynomials associated with Hermite polynomials [O] . Waseem A. Khan, Hiba Haroon -1

机译：与Hermite多项式相关的广义BernoulliEuler和Genocchi多项式的一些对称恒等式
7. Some identities on the higher-order-twisted q-Euler numbers and polynomials with weight α [O] . Hui Young Lee, Nam Soon Jung, Jung Yoog Kang, 2012

机译：高阶扭曲q-Euler数和权重为α的多项式的一些恒等式

Some identities on the higher-order-twisted q -Euler numbers and polynomials with weight α

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