Geodesic
Normality Criterion Concerning Sharing Functions II
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

Voir la notice de l'article

Let F be a family of meromorphic functions in a domain D , and k be a positive integer, and let φ( z )( 0,∞) be a meromorphic function in D such that ƒ and φ( z ) have no common zeros for all ƒ ∈ F and φ ( z ) has no simple zeros in D , and all poles of φ ( z ) have multiplicity at most k . If, for each ƒ ∈ F , all zeros of ƒ have multiplicity at least k + 1, ƒ ( k ) ( z ) = 0 ⇒ ƒ ( z ) = 0, ƒ ( k ) ( z ) = φ ( z ) ⇒ ƒ ( z ) = φ ( z ), then F is normal in D . This result improves and extends related results due to Schwick, Fang, Fang-Zalcman and Xu, et al.
Classification : 30D35. 
@article{BMMS_2010_33_3_a13,
     author = {Jiying Xia and Yan Xu},
     title = {Normality {Criterion} {Concerning} {Sharing} {Functions} {II}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2010},
     volume = {33},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a13/}
}
TY  - JOUR
AU  - Jiying Xia
AU  - Yan Xu
TI  - Normality Criterion Concerning Sharing Functions II
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2010
VL  - 33
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a13/
ID  - BMMS_2010_33_3_a13
ER  - 
%0 Journal Article
%A Jiying Xia
%A Yan Xu
%T Normality Criterion Concerning Sharing Functions II
%J Bulletin of the Malaysian Mathematical Society
%D 2010
%V 33
%N 3
%U http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a13/
%F BMMS_2010_33_3_a13
Jiying Xia; Yan Xu. Normality Criterion Concerning Sharing Functions II. Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a13/