A Study of Bicomplex Qm-Normal Families

Tehseen Abas Khan; Jyoti Gupta; Ravinder Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V70I11P103

International Journal of Mathematics Trends and Technology

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Volume 70 | Issue 11 | Year 2024 | Article Id. IJMTT-V70I11P103 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I11P103

A Study of Bicomplex Qm-Normal Families

Tehseen Abas Khan, Jyoti Gupta, Ravinder Kumar

Received	Revised	Accepted	Published
16 Aug 2024	29 Sep 2024	15 Nov 2024	30 Nov 2024

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.

Keywords

Bicomplex numbers, Bi-complex meromorphic functions, Normal families, Qm -normal families, Cm -point and Cm sequences.

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Citation :

Tehseen Abas Khan, Jyoti Gupta, Ravinder Kumar, "A Study of Bicomplex Qm-Normal Families," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 11, pp. 16-27, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I11P103