نتایج جستجو برای: valent functions

تعداد نتایج: 495395  

1998
A. Eremenko

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...

 In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.

Journal: :Transactions of the American Mathematical Society 1965

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Journal: :Colloquium Mathematicum 1967

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