Scholarlink

<p>In this study, we define the Copper Fibonacci and Copper Lucas polynomials, and some terms of these polynomials are given, including the relationship of the ratio of the biggest to the smallest of two consecutive terms of these polynomials. In addition, we provide important relations among the positive and negative index terms, and the sum of the squares of two consecutive terms is related to these polynomials. We apply Catalan transformations to these polynomials and obtain some of their terms. We also relate the terms of the Hankel transformation of the Catalan Copper Fibonacci polynomials with the classical Fibonacci numbers. Finally, we define the application of the Copper Fibonacci and Copper Lucas polynomials to hyperbolic quaternions.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Copper Fibonacci, Copper Lucas polynomials and their some special transformations and hyperbolic quaternions

  • 期刊论文

  • 发表日期：

    2025年3月18日

查看全文
  • Hakan Akkuş,
  • Engin Özkan

摘要

In this study, we define the Copper Fibonacci and Copper Lucas polynomials, and some terms of these polynomials are given, including the relationship of the ratio of the biggest to the smallest of two consecutive terms of these polynomials. In addition, we provide important relations among the positive and negative index terms, and the sum of the squares of two consecutive terms is related to these polynomials. We apply Catalan transformations to these polynomials and obtain some of their terms. We also relate the terms of the Hankel transformation of the Catalan Copper Fibonacci polynomials with the classical Fibonacci numbers. Finally, we define the application of the Copper Fibonacci and Copper Lucas polynomials to hyperbolic quaternions.