The Set of Julia Points for Functions Omitting Two Values
Canadian mathematical bulletin, Tome 19 (1976) no. 4, pp. 441-443

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

Let f be a function denned in the unit disk D(|z| < 1). For each point e iθ on the unit circle C(|z| = 1) and each subset S of D, we denote by Cs (f, e iθ ) the cluster set of f at e iθ relative to s, i.e. where N(e iθ , j) = {z∈D:|z-e iθ | <1/j}.
Gauthier, P. M.; Hwang, J. S. The Set of Julia Points for Functions Omitting Two Values. Canadian mathematical bulletin, Tome 19 (1976) no. 4, pp. 441-443. doi: 10.4153/CMB-1976-066-6
@article{10_4153_CMB_1976_066_6,
     author = {Gauthier, P. M. and Hwang, J. S.},
     title = {The {Set} of {Julia} {Points} for {Functions} {Omitting} {Two} {Values}},
     journal = {Canadian mathematical bulletin},
     pages = {441--443},
     year = {1976},
     volume = {19},
     number = {4},
     doi = {10.4153/CMB-1976-066-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-066-6/}
}
TY  - JOUR
AU  - Gauthier, P. M.
AU  - Hwang, J. S.
TI  - The Set of Julia Points for Functions Omitting Two Values
JO  - Canadian mathematical bulletin
PY  - 1976
SP  - 441
EP  - 443
VL  - 19
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-066-6/
DO  - 10.4153/CMB-1976-066-6
ID  - 10_4153_CMB_1976_066_6
ER  - 
%0 Journal Article
%A Gauthier, P. M.
%A Hwang, J. S.
%T The Set of Julia Points for Functions Omitting Two Values
%J Canadian mathematical bulletin
%D 1976
%P 441-443
%V 19
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-066-6/
%R 10.4153/CMB-1976-066-6
%F 10_4153_CMB_1976_066_6

[1] 1. Collingwood, E. F. and G. Piranian, Tsuji functions with segments of Julia. Math. Z. 84 (1964), 246–253. Google Scholar

[2] 2. Colwell, P., Julia points of functions meromorphic in a disc. Bull. London Math. Soc. 4 (1972), 327–329. Google Scholar

[3] 3. Gauthier, P. M., A criterion for normalcy, Nagoya Math. J. 32 (1968), 277–282. Google Scholar

[4] 4. Lappan, P. and Piranian, G., Holomorphic functions with dense sets of Plessner points, Proc. Amer. Math. Soc. 21, no. 3 (1969), 555–556. Google Scholar

[5] 5. Lappan, P., A characterization of Plessner points, Bull. London Math. Soc. 2 (1970), 60–62. Google Scholar

[6] 6. Mergelyan, S. N., Uniform approximations to functions of a complex variable, [Uspehi Mat. Nauk (N.S.) 7, no. 2 (48) (1952), 31–122]. Amer. Math. Soc. Transi. 101 (1954), 99 pp. Google Scholar

[7] 7. Walsh, J. L., Interpolation and approximation by rational functions in the complex domain, Amer. Math. Soc. Colloq. Publ. Vol. XX (1960). Google Scholar

Cité par Sources :