A Study of Bicomplex Qm-Normal Families

In this paper, the theory of Qm -normal families of meromorphic functions of one complex variable is promoted to bicomplex meromorphic functions. To study the properties of Qm -normal families in the bicomplex case, we have extended the definition of Cm -point and Cm -sequences from one complex variable to the bicomplex case and obtained its important results. Many results of Qm -normal families of one complex variable case are seen to hold in the bicomplex case. Moreover, the necessary and sufficient condition for Qm -normality in the bicomplex case is obtained.

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Publication Details

Journal
International Journal of Mathematics Trends and Technology
Published
2024-11-30
DOI
https://doi.org/10.14445/22315373/ijmtt-v70i11p103
Primary Topic
Algebraic and Geometric Analysis
Type
article
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article

A Study of Bicomplex Qm-Normal Families

Tabrez Alam Khan, Jyoti Gupta, Ravinder Kumar
International Journal of Mathematics Trends and Technology
Algebraic and Geometric Analysis
article

A Study of Bicomplex Qm-Normal Families

Tabrez Alam Khan, Jyoti Gupta, Ravinder Kumar
article en

Abstract

In this paper, the theory of Qm -normal families of meromorphic functions of one complex variable is promoted to bicomplex meromorphic functions. To study the properties of Qm -normal families in the bicomplex case, we have extended the definition of Cm -point and Cm -sequences from one complex variable to the bicomplex case and obtained its important results. Many results of Qm -normal families of one complex variable case are seen to hold in the bicomplex case. Moreover, the necessary and sufficient condition for Qm -normality in the bicomplex case is obtained.

International Journal of Mathematics Trends and TechnologyVol. 70(11)
Gender equality
Openalex Percentile: Top 57%
Algebraic and Geometric Analysis
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