Covering theorem for p-valent functions with Montel's normalization
نویسندگان
چکیده
منابع مشابه
inequalities for meromorphically p-valent functions
the aim of this paper is to prove some inequalities for p-valent meromorphic functions in thepunctured unit disk δ* and find important corollaries.
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This class is related to mean p-valent holomorphic functions as defined in [1]. Theorem 1. The family of all spherically p-valent functions in a region D is quasinormal of order p in D. Proof. We may assume without loss of generality that D is the unit disc. Let fn be a sequence of spherically p-valent functions. Write fn = gn/hn so that gn and hn have no common zeros. Let un = log √ |gn|2 + |h...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.02.081