Pell-Lucas多项式的根

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI:10.47743/anstim.2022.00017

Furkan Birol, Özden Koruoğlu

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引用次数: 1

摘要

在本文中，我们考虑了Pell-Lucas多项式。我们把这些多项式表示为复双曲函数。利用这个公式，我们得到了Pell-Lucas多项式的一般根式。进一步，我们给出了多项式在另一个多项式族成员下的根像的一些有趣的恒等式。最后，我们得到了Pell-Lucas多项式的根与模群、Hecke群、几何视点的广义Hecke群之间的一些惊人的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Roots of Pell-Lucas polynomials

In this paper, we consider the Pell-Lucas polynomials. We express these poly- nomials as complex hyperbolic functions. Using this we obtain general root formula for Pell-Lucas polynomials. Furthermore, we give some interesting identities about images of roots of a polynomial under another member of the family. Finally, we get some amazing relationships between the roots of Pell-Lucas polynomials and the modular group, Hecke groups, generalized Hecke groups with geometric viewpoints.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.