Normal families of bicomplex meromorphic functions

Kuldeep Singh Charak, Dominic Rochon, and Narinder Sharma. "Normal families of bicomplex meromorphic functions." Annales Polonici Mathematici 103.3 (2012): 303-317. <http://eudml.org/doc/280959>.

@article{KuldeepSinghCharak2012,
abstract = {We introduce the extended bicomplex plane 𝕋̅, 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.},
author = {Kuldeep Singh Charak, Dominic Rochon, Narinder Sharma},
journal = {Annales Polonici Mathematici},
keywords = {bicomplex numbers; complex Clifford algebras; normal families; bicomplex holomorphic functions; bicomplex meromorphic functions; bicomplex Riemann sphere},
language = {eng},
number = {3},
pages = {303-317},
title = {Normal families of bicomplex meromorphic functions},
url = {http://eudml.org/doc/280959},
volume = {103},
year = {2012},
}

TY - JOUR
AU - Kuldeep Singh Charak
AU - Dominic Rochon
AU - Narinder Sharma
TI - Normal families of bicomplex meromorphic functions
JO - Annales Polonici Mathematici
PY - 2012
VL - 103
IS - 3
SP - 303
EP - 317
AB - We introduce the extended bicomplex plane 𝕋̅, 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.
LA - eng
KW - bicomplex numbers; complex Clifford algebras; normal families; bicomplex holomorphic functions; bicomplex meromorphic functions; bicomplex Riemann sphere
UR - http://eudml.org/doc/280959
ER -