## Bloch’s principle and normal criterion.(English)Zbl 0687.30023

L. Zalcman [Am. Math. Monthly 82, 813-817 (1975; Zbl 0315.30036)] gave a precise form of the heuristic principle that “a family of holomorphic functions which have a common property $$P$$ in a domain $$D$$ is (apt to be) a normal family in $$D$$ if $$P$$ cannot be possessed by a non-constant entire function in the finite plane”. The author uses a modified version of Zalcman’s principle to establish the normality of the family $$F$$ of meromorphic functions $$f(z)$$ satisfying $$f^ nf'\neq 1$$ ($$n\geq 2$$) in a domain $$D$$.
Reviewer: St.Dragosh

### MSC:

 30D45 Normal functions of one complex variable, normal families

### Keywords:

Bloch’s principle; normal family

Zbl 0315.30036