Generalization of two-variable Chebyshev and Gegenbauer polynomials

Clemente Cesarano

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Generalization of two-variable Chebyshev and Gegenbauer polynomials

机译：二变量Chebyshev和Gegenbauer多项式的推广

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摘要

We use the concepts and the formalism of the two-variable Hermite polynomials of the Gould-Hopper type in order to derive integral representations of the Chebyshev and Gegenbauer polynomials. Most properties of these polynomial sets can be deduced in a fairly straightforward way from this representation, which actually provides a unifying framework for a large body of polynomial families related to the Gould-Hopper polynomials.

机译：我们使用Gould-Hopper类型的二变量Hermite多项式的概念和形式主义来推导Chebyshev和Gegenbauer多项式的积分表示。这些多项式集的大多数属性可以从这种表示中以相当直接的方式推导，这实际上为与Gould-Hopper多项式有关的大量多项式族提供了统一的框架。

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《International Journal of Applied Mathematics & Statistics》 |2015年第1期|共7页
作者
Clemente Cesarano;
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正文语种 eng
中图分类计量学;
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Generalized two-variable Chebyshev and Gegenbauer polynomials; Integral representations;

机译：广义二变量Chebyshev和Gegenbauer多项式;积分表示;

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1. Generalization of two-variable Chebyshev and Gegenbauer polynomials [J] . Clemente Cesarano International Journal of Applied Mathematics & Statistics . 2015,第1期

机译：二变量Chebyshev和Gegenbauer多项式的推广
2. ANALYSIS OF FINITE CAPACITY QUEUE WITH NEGATIVE CUSTOMERS AND BUNKER FOR OUSTED CUSTOMERS USING CHEBYSHEV AND GEGENBAUER POLYNOMIALS [J] . ROSTISLAV V. RAZUMCHIK Asia-Pacific Journal of Operational Research . 2014,第4期

机译：切比雪夫和Gengenbauer多项式对被淘汰客户的负客户和邦克有限容量排队的分析
3. Generalizations of chebyshev polynomials and polynomial mappings [J] . Chen Y, Griffin J, Ismail MEH Transactions of the American Mathematical Society . 2007,第10期

机译：Chebyshev多项式的一般化和多项式映射
4. On an Hypercomplex Generalization of Gould-Hopper and Related Chebyshev Polynomials [C] . I. Cacao, H.R. Malonek ICCSA 2011;International conference on computational science and its applications . 2011

机译：关于Gould-Hopper和相关Chebyshev多项式的超复杂泛化
5. Zero Distribution of Binomial Combinations of Chebyshev Polynomials of the Second Kind [D] . Al Hamdani, Summer F. 2021

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6. Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials [O] . Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, -1

机译：第二类Chebyshev多项式和Fibonacci多项式的有限积的和
7. Generalizations and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals [O] . Cohl, Howard, MacKenzie, Connor 2013

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8. A Generalization of Gegenbauer and Laguerre Polynomials [R] . Henry, M. S., Huffstutler, R. G., Stein, F. M. 1966

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Generalization of two-variable Chebyshev and Gegenbauer polynomials

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