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Properties of some families of meromorphic multivalent functions associated with generalized hypergeometric functions

机译:与广义超几何函数有关的亚纯多价函数的某些族的性质

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摘要

We introduce and study two subclasses . [α 1 ] (A, B , λ) and . + [α 1 ] (A, B , λ) of meromorphic p-valent functions defined by certain linear operator involving the generalized hy- pergeometric function. The main object is to investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the fa- miliar concept of neighborhoo ds of analytic functions to these subclasses. We also derive many interesting results for the Hadamard products of functions belonging to the class . + [α 1 ] (α, β , γ, λ).
机译:我们介绍和研究两个子类。 [α1](A,B,λ)和。由涉及广义超几何函数的某些线性算子定义的亚纯p价函数的+ [α1](A,B,λ)。主要目的是研究亚纯多价函数这些子类的各种重要性质和特征。我们将解析函数的邻居概念的相似概念扩展到这些子类。我们还从属于该类的功能的Hadamard乘积中得出了许多有趣的结果。 + [α1](α,β,γ,λ)。

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