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<p>In this article, we establish various geometric properties for bounded double sequences of bi-complex numbers, regular double sequences of bi-complex numbers, regular null double sequences of bi-complex numbers, convergent double sequences of bi-complex numbers in Pringsheim sense, null double sequences of bi-complex numbers in Pringsheim sense, bounded convergence double sequences of bi-complex numbers, and bounded null double sequences of bi-complex numbers. We provide suitable examples to illustrate the newly introduced sequence classes and highlight properties that do not hold.</p>

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Some Geometric Properties of Double Sequences of Bi-complex Numbers

  • 期刊论文

  • 发表日期：

    2025年5月13日

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  • Sujeet Kumar,
  • Binod Chandra Tripathy

摘要

In this article, we establish various geometric properties for bounded double sequences of bi-complex numbers, regular double sequences of bi-complex numbers, regular null double sequences of bi-complex numbers, convergent double sequences of bi-complex numbers in Pringsheim sense, null double sequences of bi-complex numbers in Pringsheim sense, bounded convergence double sequences of bi-complex numbers, and bounded null double sequences of bi-complex numbers. We provide suitable examples to illustrate the newly introduced sequence classes and highlight properties that do not hold.