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In this study a dual biquaternionic sequence with Vietoris’ numbers as its components is introduced and some of its properties are discussed. Furthermore, the construction of this dual biquaternion sequence is presented using matrices that generate the quaternionic sequence where the components are Vietoris’ numbers, and also by applying the determinant to a specific type of matrices.

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On Dual Biquaternionic Sequence Involving Vietoris’ Numbers

  • 会议论文

  • 发表日期：

    2025年

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  • Regina de Almeida,
  • Paula Catarino

摘要

In this study a dual biquaternionic sequence with Vietoris’ numbers as its components is introduced and some of its properties are discussed. Furthermore, the construction of this dual biquaternion sequence is presented using matrices that generate the quaternionic sequence where the components are Vietoris’ numbers, and also by applying the determinant to a specific type of matrices.