Generalized Chebyshev polynomials

被引：0

作者：

Cesarano, Clemente ^{[1
]}

机构：

[1] Int Telemat Univ UNINETTUNO, Fac Engn, I-00186 Rome, Italy

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2014年 / 43卷 / 05期

关键词：

Two-variable Chebyshev and Gegenbauer polynomials; Generating functions; Integral representations; MULTIDIMENSIONAL GENERALIZATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize the first and second kind Chebyshev polynomials by using the concepts and the operational formalism of the Hermite polynomials of the Kampe de Feriet type. We will see how it is possible to derive integral representations for these generalized Chebyshev polynomials. Finally we will use these results to state several relations for Gegenbauer polynomials.

引用

页码：731 / 740

页数：10

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