Code: 201314

Some Normality Criteria of Meromorphic Functions

Chunlin Lei, Mingliang Fang, Cuiping Zeng

 

Abstracts

Let ℱ be a family of functions meromorphic in a domain D, let n ≥ 2 be a positive integer, and let a ≠ 0, b be two finite complex numbers. If, for each f ∈ ℱ, all of whose zeros have multiplicity at least k + 1, and f + a(f(k))nb in D, then ℱ is normal in D