ON ℐ^𝒦-CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERS

We propose the concept of ℐ^𝒦-convergence of sequences of bi-complex numbers. We explore the fundamental properties of this newly introduced notion and its relationships with other convergence methods

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Main Authors: J. Hossain, S. Debnath
Format: Article
Language:English
Published: Petrozavodsk State University 2024-10-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16070&lang=en
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author J. Hossain
S. Debnath
author_facet J. Hossain
S. Debnath
author_sort J. Hossain
collection DOAJ
description We propose the concept of ℐ^𝒦-convergence of sequences of bi-complex numbers. We explore the fundamental properties of this newly introduced notion and its relationships with other convergence methods
format Article
id doaj-art-e2624aba35964c3db32fa0446b9f5dd5
institution Kabale University
issn 2306-3424
2306-3432
language English
publishDate 2024-10-01
publisher Petrozavodsk State University
record_format Article
series Проблемы анализа
spelling doaj-art-e2624aba35964c3db32fa0446b9f5dd52025-01-28T10:47:14ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322024-10-0113 (31)3435510.15393/j3.art.2024.16070ON ℐ^𝒦-CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERSJ. Hossain0S. Debnath1Department of Mathematics Tripura University (A Central University)Department of Mathematics Tripura University (A Central University)We propose the concept of ℐ^𝒦-convergence of sequences of bi-complex numbers. We explore the fundamental properties of this newly introduced notion and its relationships with other convergence methodshttps://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16070&lang=enidealfilterℐ-convergenceℐ^*-convergenceℐ^𝒦-convergence.bi-complex number
spellingShingle J. Hossain
S. Debnath
ON ℐ^𝒦-CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERS
Проблемы анализа
ideal
filter
ℐ-convergence
ℐ^*-convergence
ℐ^𝒦-convergence.
bi-complex number
title ON ℐ^𝒦-CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERS
title_full ON ℐ^𝒦-CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERS
title_fullStr ON ℐ^𝒦-CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERS
title_full_unstemmed ON ℐ^𝒦-CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERS
title_short ON ℐ^𝒦-CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERS
title_sort on i 𝒦 convergence of sequences of bi complex numbers
topic ideal
filter
ℐ-convergence
ℐ^*-convergence
ℐ^𝒦-convergence.
bi-complex number
url https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16070&lang=en
work_keys_str_mv AT jhossain onikconvergenceofsequencesofbicomplexnumbers
AT sdebnath onikconvergenceofsequencesofbicomplexnumbers