Normal families of bicomplex meromorphic functions
Annales Polonici Mathematici, Tome 103 (2012) no. 3, pp. 303-317
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We introduce the extended bicomplex plane $\overline{\mathbb{T}}$,
its geometric model: the bicomplex Riemann sphere, and the bicomplex chordal metric that enables
us to talk about convergence of sequences of bicomplex meromorphic functions. Hence
the concept of normality of a family of bicomplex meromorphic functions on
bicomplex domains emerges.
Besides obtaining a normality criterion for such families,
the bicomplex analog of the Montel theorem for
meromorphic functions and the fundamental normality tests for families
of bicomplex holomorphic functions
and bicomplex meromorphic functions are also obtained.
Keywords:
introduce extended bicomplex plane overline mathbb its geometric model bicomplex riemann sphere bicomplex chordal metric enables talk about convergence sequences bicomplex meromorphic functions hence concept normality family bicomplex meromorphic functions bicomplex domains emerges besides obtaining normality criterion families bicomplex analog montel theorem meromorphic functions fundamental normality tests families bicomplex holomorphic functions bicomplex meromorphic functions obtained
Affiliations des auteurs :
Kuldeep Singh Charak 1 ; Dominic Rochon 2 ; Narinder Sharma 1
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author = {Kuldeep Singh Charak and Dominic Rochon and Narinder Sharma},
title = {Normal families of bicomplex meromorphic functions},
journal = {Annales Polonici Mathematici},
pages = {303--317},
publisher = {mathdoc},
volume = {103},
number = {3},
year = {2012},
doi = {10.4064/ap103-3-6},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap103-3-6/}
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Kuldeep Singh Charak; Dominic Rochon; Narinder Sharma. Normal families of bicomplex meromorphic functions. Annales Polonici Mathematici, Tome 103 (2012) no. 3, pp. 303-317. doi: 10.4064/ap103-3-6
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