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A Certain Subclass of Meromorphically Multivalent Analytic Functions with Negative Coefficients

机译:具有负系数的亚纯多价解析函数的某些子类

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The paper aims to introduce a certain subclass S~*_g(A,B,α,p,j) of the class Σ~* (p) of meromorphically multivalent functions with negative coefficients, defined by using the definitions of Hadamard product and subordination for two functions belong to the class Σ~* (p). We first investigate the geometric characterization property, giving the coefficient estimates for functions in the class S~*_g(A,B,α,p,j). We also obtain the distortion theorem, radii of meromorphically p-valent starlikeness and convexity of order (0≤γ<p), neighborhood property, partial sums, convolution properties as well as integral operator and integral representation.
机译:本文旨在介绍具有负系数的亚纯多价函数类Σ〜*(p)的某个子类S〜* _g(A,B,α,p,j),该子类使用Hadamard乘积和从属的定义来定义对于两个函数,属于Σ〜*(p)类。我们首先研究几何特征,给出类S〜* _g(A,B,α,p,j)中的函数的系数估计。我们还获得了变形定理,亚纯p价星形的半径和阶数(0≤γ<p)的凸度,邻域性质,部分和,卷积性质以及积分算子和积分表示。

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