Some Geometric Properties of Double Sequences of Bi-complex Numbers

Abstract

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.