Some results for sums of products of Chebyshev and Legendre polynomials

被引：2
|
作者：
He, Yuan [1 ]
机构：
[1] Neijiang Normal Univ, Sch Math & Informat Sci, Neijiang, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期
关键词：
Gegenbauer polynomials; Chebyshev polynomials; Legendre polynomials; Combinatorial identities; FINITE PRODUCTS;
D O I：
10.1186/s13662-019-2301-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we perform a further investigation of the Gegenbauer polynomials, the Chebyshev polynomials of the first and second kinds and the Legendre polynomials. By making use of some analytic and combinatorial methods, we establish some new expressions for sums of products of arbitrary numbers of Chebyshev polynomials of the first and second kinds and Legendre polynomials.
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页数：13
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