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.
Authors
- Tabrez Alam Khan (ORCID: https://orcid.org/0000-0002-2562-8836)
- Jyoti Gupta (ORCID: https://orcid.org/0000-0002-5864-4998)
- Ravinder Kumar (ORCID: https://orcid.org/0000-0002-7524-6203)
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
- Field-Weighted Citation Impact
- 0.00