Geodesic
Normal families of bicomplex meromorphic functions
Kuldeep Singh Charak1 ; Dominic Rochon2 ; Narinder Sharma1
1Department of Mathematics University of Jammu Jammu-180 006, India
2Département de mathématiques et d'informatique Université du Québec à Trois-Rivières C.P. 500 Trois-Rivières, Québec, Canada G9A 5H7
Annales Polonici Mathematici, Tome 103 (2012) no. 3, pp. 303-317
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/ap103-3-6
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

Kuldeep Singh Charak  1   ; Dominic Rochon  2   ; Narinder Sharma  1

1 Department of Mathematics University of Jammu Jammu-180 006, India
2 Département de mathématiques et d'informatique Université du Québec à Trois-Rivières C.P. 500 Trois-Rivières, Québec, Canada G9A 5H7 
@article{10_4064_ap103_3_6,
     author = {Kuldeep Singh Charak and Dominic Rochon and Narinder Sharma},
     title = {Normal families of bicomplex meromorphic functions},
     journal = {Annales Polonici Mathematici},
     pages = {303--317},
     year = {2012},
     volume = {103},
     number = {3},
     doi = {10.4064/ap103-3-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap103-3-6/}
}
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
SP  - 303
EP  - 317
VL  - 103
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap103-3-6/
DO  - 10.4064/ap103-3-6
LA  - en
ID  - 10_4064_ap103_3_6
ER  - 
%0 Journal Article
%A Kuldeep Singh Charak
%A Dominic Rochon
%A Narinder Sharma
%T Normal families of bicomplex meromorphic functions
%J Annales Polonici Mathematici
%D 2012
%P 303-317
%V 103
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ap103-3-6/
%R 10.4064/ap103-3-6
%G en
%F 10_4064_ap103_3_6
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

Cité par Sources :