Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives

被引：0

作者：

Kishore, Jugal ^{[1
]}

Verma, Vipin ^{[1
]}

机构：

[1] Lovely Profess Univ, Sch Chem Engn & Phys Sci, Dept Math, Phagwara 144411, Punjab, India

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2023年 / 29卷 / 02期

关键词：

Chebyshev polynomials; Fibonacci polynomials; Orthogonality;

D O I：

10.7546/nntdm.2023.29.2.204-215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we will derive the explicit formulae for Chebyshev polynomials of the third and fourth kind with odd and even indices using the combinatorial method. Similar results are also deduced for their rth derivatives. Finally, some identities involving Chebyshev polynomials of the third and fourth kind with even and odd indices and Fibonacci polynomials with negative indices are obtained.

引用

页码：204 / 215

页数：12

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