Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind

Kim Dae San; Kim Taekyun; Komatsu Takao; Kwon Hyuck In; Lee Sang-Hun

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Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind

机译：与第二类多项式Cauchy多项式相关的Barnes型Peters多项式

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摘要

In this paper, by considering Barnes-type Peters polynomials of the second kind as well as poly-Cauchy polynomials of the second kind, we define and investigate the mixed-type polynomials of these polynomials. From the properties of Sheffer sequences of these polynomials arising from umbral calculus, we derive new and interesting identities.

机译：在本文中，通过考虑第二类的Barnes型Peters多项式以及第二种的Poly-Cauchy多项式，我们定义和研究了这些多项式的混合型多项式。从这些本影演算的多项式的Sheffer序列的性质中，我们得出了新的有趣的恒等式。

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《Journal of computational analysis and applications》 |2016年第1期|共24页
作者
Kim Dae San; Kim Taekyun; Komatsu Takao; Kwon Hyuck In; Lee Sang-Hun;
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正文语种 eng
中图分类应用数学;
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1. Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind [J] . Kim Dae San, Kim Taekyun, Komatsu Takao, Journal of computational analysis and applications . 2016,第1期

机译：与第二类多项式Cauchy多项式相关的Barnes型Peters多项式
2. Barnes-type Peters of the first kind and poly-Cauchy of the first kind mixed-type polynomials [J] . Kim Dae San, Kim Taekyun, Komatsu Takao, Journal of computational analysis and applications . 2016,第5期

机译：第一类的Barnes型Peters和第一类混合型多项式的Poly-Cauchy
3. Barnes-type Narumi of the second kind and poly-Cauchy of the second kind mixed-type polynomials [J] . Kim Dae San, Kim Taekyun, Komatsu Takao, Journal of computational analysis and applications . 2016,第1期

机译：第二类的Barnes型Narumi和第二类混合型多项式的Poly-Cauchy
4. Finding non-polynomial positive invariants and lyapunov functions for polynomial systems through Darboux polynomials [C] . Goubault Eric, Jourdan Jacques-Henri, Putot Sylvie, American Control Conference . 2014

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5. Reidemeister torsion, twisted Alexander polynomial, the A-polynomial, and the colored Jones polynomial of some classes of knots. [D] . Huynh, Vu Quang. 2005

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Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind

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