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Some symmetric identities for the generalized Bernoulli Euler and Genocchi polynomials associated with Hermite polynomials

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

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摘要

In 2008, Liu and Wang established various symmetric identities for Bernoulli, Euler and Genocchi polynomials. In this paper, we extend these identities in a unified and generalized form to families of Hermite–Bernoulli, Euler and Genocchi polynomials. The procedure followed is that of generating functions. Some relevant connections of the general theory developed here with the results obtained earlier by Pathan and Khan are also pointed out.

机译：2008年，Liu和Wang为Bernoulli，Euler和Genocchi多项式建立了各种对称恒等式。在本文中，我们将这些身份以统一和广义的形式扩展到Hermite–Bernoulli，Euler和Genocchi多项式的族。遵循的过程是生成函数的过程。还指出了这里发展的一般理论与Pathan和Khan早先获得的结果的一些相关联系。

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期刊名称 SpringerPlus
作者
Waseem A. Khan; Hiba Haroon;
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作者单位

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年(卷),期 -1(5),1
年度 -1
页码 1920
总页数 21
原文格式 PDF
正文语种
中图分类
关键词
Hermite polynomials Bernoulli polynomials Euler polynomials and Genocchi polynomials Hermite–Bernoulli polynomials Hermite–Euler polynomials Hermite–Genocchi polynomials Symmetric identities;

机译：Hermite多项式;Bernoulli多项式;Euler多项式和Genocchi多项式;Hermite-Bernoulli多项式;Hermite-Euler多项式;Hermite-Genocchi多项式;对称恒等式;

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专利

1. New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials [J] . Veli Kurt Advances in Difference Equations . 2014,第1期

机译：从广义Bernoulli多项式，Euler多项式和Genocchi多项式得出的新恒等式和关系
2. New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials [J] . Veli Kurt Advances in Difference Equations . 2014,第1期

机译：从广义Bernoulli多项式，Euler多项式和Genocchi多项式得出的新恒等式和关系
3. Some Identities on the Generalizedq-Bernoulli,q-Euler, andq-Genocchi Polynomials [J] . DaeyeoulKim, BurakKurt, VeliKurt Abstract and applied analysis . 2013,第6期

机译：广义q-Bernoulli，q-Euler和q-Genocchi多项式的一些恒等式
4. Frobenious-Euler Type Polynomials Related to Hermite-Bernoulli Polynomials [C] . Burak Kurt, Yilmaz Simsek International Conference of Numerical Analysis and Applied Mathematics . 2011

机译：Frobenius-euler类型与Hermite-Bernoulli多项式相关的多项式
5. Hermite form computation of matrices of differential polynomials [D] . Kim, Myung Sub. 2009

机译：微分多项式矩阵的Hermite形式计算
6. A new generalization of Apostol type Hermite–Genocchi polynomials and its applications [O] . Serkan Araci, Waseem A. Khan, Mehmet Acikgoz, -1

机译：Apostol型Hermite-Genocchi多项式的新推广及其应用
7. Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials [O] . Waseem A. Khan, Hiba Haroon 2016

机译：与Hermite多项式相关的广义Bernoulli，Euler和Genocchi多项式的一些对称恒等式
8. Hermite Polynomials in Asymptotic Representations of Generalized Bernoulli,211 Euler, Bessel and Buchholz Polynomials. Modelling, Analysis and Simulation (MAS) [R] . Lopez, J. L., Temme, N. M. 1999

机译：广义Bernoulli，211 Euler，Bessel和Buchholz多项式的渐近表示中的Hermite多项式。建模，分析和模拟（mas）

Some symmetric identities for the generalized Bernoulli Euler and Genocchi polynomials associated with Hermite polynomials

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