Properties of Some Families of Meromorphic Multivalent Functions Associated with Generalized Hypergeometric Functions  

作　　者：Mostafa ALBEHBAH Maslina DARUS 

机构地区：[1]School of Mathematical Sciences, Faculty of Science and Technology,Universiti Kebangsaan Malaysia

出　　处：《Journal of Mathematical Research with Applications》2018年第1期43-57,共15页数学研究及应用（英文版）

基　　金：Supported by UKM(Grant No.GUP-2017-064)

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 hypergeometric function. The main object is to investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods 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）.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 hypergeometric function. The main object is to investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods 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）.

关 键 词：Generalized hypergeometric function Hadamard product meromorphic functions neighborhoods 

分 类 号：O174[理学—数学]