The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points

摘要

We study the normality criteria of meromorphic functions concerning shared fixed-points; we obtain the following: Let F be a family of meromorphic functions defined in a domain D and k ≥ 2 a positive integer. For every f ∈ F, all zeros of f are of multiplicity at least k + 2 and all poles of f are multiple. If ff(k) and gg~((k)) share z in D for each pair of functions f and g, then F is normal.