Scholarlink

<p>The set of quaternions was introduced by Hamilton in 1843. In 2016, Özdemir introduced a generalization of quaternions, elliptic quaternions. In this paper, we introduce and study balancing elliptic quaternions, i.e. elliptic quaternions with balancing and Lucas-balancing coefficients. We give some of their properties, among others the Binet-type formula, the generating function, and the matrix representation of these 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

On balancing elliptic quaternions

  • 期刊论文

  • 发表日期：

    2026年3月12日

查看全文
  • Dorota Bród,
  • Anetta Szynal-Liana

摘要

The set of quaternions was introduced by Hamilton in 1843. In 2016, Özdemir introduced a generalization of quaternions, elliptic quaternions. In this paper, we introduce and study balancing elliptic quaternions, i.e. elliptic quaternions with balancing and Lucas-balancing coefficients. We give some of their properties, among others the Binet-type formula, the generating function, and the matrix representation of these quaternions.