涉及切比雪夫多项式、斐波那契多项式及其导数的一些恒等式

IF 0.4 Q4 MATHEMATICS

Notes on Number Theory and Discrete Mathematics Pub Date : 2023-04-16 DOI:10.7546/nntdm.2023.29.2.204-215

J. Kishore, V. Verma

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引用次数: 2

摘要

本文用组合方法导出了第三类和第四类奇偶指数切比雪夫多项式的显式公式。对它们的r阶导数也推导出类似的结果。最后，得到了涉及第三类、第四类奇偶指标Chebyshev多项式和负指标Fibonacci多项式的恒等式。

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Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives

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 r-th 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.

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来源期刊

Notes on Number Theory and Discrete Mathematics MATHEMATICS-

自引率

33.30%

发文量