Normality of meromorphic functions whose derivatives have 1-points

作者：Chang Jianming^*

来源：ARCHIV DER MATHEMATIK, 2010, 94(6): 555-564.

DOI：10.1007/s00013-010-0125-1

• Meromorphic functions
• Normal family

Let k be a positive integer and let F be a family of functions meromorphic in a plane domain D, all of whose zeros have multiplicity at least k + 3. If there exists a subset E of D which has no accumulation points in D such that for each function f is an element of F, f((k))(z) - 1 has no zeros in D backslash E, then F is normal. The number k + 3 is sharp. The proof uses complex dynamics.

• 出版日期2010-6
• 单位常熟理工学院