Normal Families of Bicomplex Meromorphic Functions

摘要

In the present paper, we introduced the extended bicomplex plane$\bar{\mathbb{T}}$, its geometric model: the bicomplex Riemann sphere, and thebicomplex chordal metric that enables us to talk about the convergence of thesequences of bicomplex meromorphic functions. Hence the concept of thenormality of a family of bicomplex meromorphic functions on bicomplex domainsemerges. Besides obtaining a normality criterion for such families, thebicomplex analog of the Montel theorem for meromorphic functions and theFundamental Normality Tests for families of bicomplex holomorphic functions andbicomplex meromorphic functions are also obtained.