Boundary Behavior and Quasi-Normality of Finitely Valent Holomorphic Functions
Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 812-819

Voir la notice de l'article provenant de la source Cambridge University Press

A function denned in a domain D is n-valent in D if f(z) — w0 has at most n zeros in D for each complex number w0. Let denote the class of nonconstant, holomorphic functions f in the unit disc that are n-valent in each component of the set . MacLane's class is the class of nonconstant, holomorphic functions in the unit disc that have asymptotic values at a dense subset of |z| = 1.
Haddad, David C. Boundary Behavior and Quasi-Normality of Finitely Valent Holomorphic Functions. Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 812-819. doi: 10.4153/CJM-1973-083-9
@article{10_4153_CJM_1973_083_9,
     author = {Haddad, David C.},
     title = {Boundary {Behavior} and {Quasi-Normality} of {Finitely} {Valent} {Holomorphic} {Functions}},
     journal = {Canadian journal of mathematics},
     pages = {812--819},
     year = {1973},
     volume = {25},
     number = {4},
     doi = {10.4153/CJM-1973-083-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-083-9/}
}
TY  - JOUR
AU  - Haddad, David C.
TI  - Boundary Behavior and Quasi-Normality of Finitely Valent Holomorphic Functions
JO  - Canadian journal of mathematics
PY  - 1973
SP  - 812
EP  - 819
VL  - 25
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-083-9/
DO  - 10.4153/CJM-1973-083-9
ID  - 10_4153_CJM_1973_083_9
ER  - 
%0 Journal Article
%A Haddad, David C.
%T Boundary Behavior and Quasi-Normality of Finitely Valent Holomorphic Functions
%J Canadian journal of mathematics
%D 1973
%P 812-819
%V 25
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-083-9/
%R 10.4153/CJM-1973-083-9
%F 10_4153_CJM_1973_083_9

[1] 1. Bagemihl, F. and Seidel, W., Koebe arcs and Fatou points of normal functions, Comment. Math. Helv. 36 (1962), 9–18. Google Scholar

[2] 2. Haddad, D. C., Asymptotic values of finitely valent functions, Duke Math. J. 89 (1972), 362–367. Google Scholar

[3] 3. Lehto, O. and Virtanen, K. I., Boundary behaviour and normal meromorphic functions, Acta. Math. 97 (1957), 46–65. Google Scholar

[4] 4. MacLane, G. R., Asymptotic values of holomorphic functions, Rice University Studies J±9, No. 1 (1963). Google Scholar

[5] 5. Montel, P., Leçons sur les familles normales de fonctions analytiques et leurs applications (Gauthier-Villars, Paris, 1927). Google Scholar

Cité par Sources :