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数学年刊（A辑） 2020年第1期41卷 53-68页

作者：汤获 Zayed H m mostafa A O aouf m k 赤峰学院数学与统计学院内蒙古赤峰024000 梅诺菲亚大学理学院数学系埃及舍宾埃尔科姆32511 曼苏拉大学理学院数学系埃及曼苏拉35516

介绍了(高斯)超几何函数属于一致星象函数和一致凸函数的某些子类的一些性质.还考虑了与超几何函数相关的算子.

关键词：单叶星象凸象一致星象一致凸象超几何函数卷积不变性

Some Applications of Differential Subordination of p-Valent Functions Associated with Cho-kwon-Srivastava Operator

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Acta mathematica Sinica,English Series 2009年第9期25卷 1483-1496页

作者： A.O.mOSTAFA m.k.aouf Department of mathematics Faculty of Science Mansoura University

making use of the principle of differential subordination, we investigate some inclusion relationships of certain subclasses of p-valent analytic functions which are defined by Cho-kwon Srivast ava Operator.

关键词： differential subordination p-valent functions Cho-kwon-Srivastava operator

CERTAIN FAmILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

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Acta mathematica Scientia 2014年第4期34卷 1166-1178页

作者： mohamed k.aouf Teodor BULBOACA Tamer m.SEOUDY Department of mathematics Faculty of ScienceMansoura UniversityMansoura 35516Egypt Faculty of mathematics and Computer Science Babes-Bolyai University 400084 Cluj-Napoca Department of mathematics Faculty of ScienceFayoum UniversityFayoum 63514Egypt

We obtain subordination, superordination and sandwich-preserving new theorems for certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for t... 详细信息

关键词： analytic function, convex function differential subordination and supcrordination: subordination chain integral operator

SUBORDINATION PROPERTIES OF mULTIVALENT FUNCTIONS INVOLVING AN EXTENDED FRACTIONAL DIFFERINTEGRAL OPERATOR

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Acta mathematica Scientia 2014年第2期34卷 367-379页

作者： mohamed k.aouf Teodor BULBOACA Rabha m.EL-ASHWASH Department of mathematics Faculty of ScienceMansoura University Faculty of mathematics and Computer Science Babes-Bolyai University

The object of this article is to investigate inclusion, radius, and other various properties of subclasses of multivalent analytic functions, which are defined by using an extended version of the Owa-Srivastava fracti... 详细信息

关键词： Analytic functions p-valent functions meromorphic functions differintegraloperator differential subordination

On Certain Classes of Univalent Functions with Negative and missing Coefficients

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Journal of mathematical Research and Exposition 1990年第1期10卷 71-78页

作者： m.k.aouf Dept.math. Faculty of Science Univ. of Qatar P.O. Box 2713 Doha Qatar

Let p~*(A,B,k,a,β) be the class of functions f(z)=a_1-sum from n=k to ∞(|a_n|Z^n) (a_1>0,k≥2) regular and univalent in the unit disc U={z:|z|<1}and satis-fying where and We denote by P_o(A,B,k, α,β,z_o) and p_1(A... 详细信息

Let p~*(A,B,k,a,β) be the class of functions f(z)=a_1-sum from n=k to ∞(|a_n|Z^n) (a_1>0,k≥2) regular and univalent in the unit disc U={z:|z|k, α,β,z_o) and p_1(A,k,α,β,z_o), two suoclasses of p~*(A,B,k,α,β), consisting of the functions which satisfy f(z_n)=z_n and f′(z_n)=1,respectively, here In this paper we obtain ooefficient estimates,distortion and closure theorems and radius of convexity of order p (0≤ρk, α,β,z_0) and P_1(A,B,k,α,β,z_o).

关键词：单页函数正则函数系数估计畸变定理闭包定理

On p-Valent Functions With Negative And missing Coefficients

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Journal of mathematical Research with Applications 1990年第2期 249-256页

作者： m.k.aouf Dept. of math. Faculty of Science Univ. of Qatar

Let P（A, B, p, α） be the class of functions f（z）=z-sum from n=k+1 to ∞|a|z,k≥p≥1,analytic and p-valent in the unit disc and satisfying where -1≤B-p for the class P（A, B, p, α）. Conversely when F（z）P（A, ... 详细信息

Let P（A, B, p, α） be the class of functions f（z）=z-sum from n=k+1 to ∞|a|z,k≥p≥1,analytic and p-valent in the unit disc and satisfying where -1≤Bmate, distortion, closure theorems and radius of convexity for the class P（A, B, p, α） under the assumption -1≤Bm F（z）=（c+p）/（z） integral from 0 to z(tf（t）dt),c>-p for the class P（A, B, p, α）. Conversely when F（z）P（A, B, p, α）, radius of pvalence of f（z） has been determined.

关键词： show 一曰 On p-Valent Functions With Negative And missing Coefficients

On a Class of Univalent Functions

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Journal of mathematical Research with Applications 1991年第2期 193-201页

作者： m.k.aouf S.Owa Dept. math. Faculty of Science Univ. of Qatar P. C. Box 2713 Doha-Qatar kinki Univ. Higashi-Osaka Osaka 577 Japan

A sharp coefficient estimate,distortion theorem and the radius of convexityare determined for the class R（α,β,A,B）of function f（z）=z+sum from n=2 to∞azsatisfyingthe condition|f’（z）-1/Bf’（z）-[B+（A-B）(1-... 详细信息

关键词： On a Class of Univalent Functions

Fekete-Szeg Problems for Certain Classes of meromorphic Functions Using q-Derivative Operator

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Journal of mathematical Research with Applications 2018年第3期38卷 236-246页

作者： Huo TANG H.m.ZAYED A.O.mOSTAFA m.k.aouf School of mathematics and Statistics Chifeng University Department of mathematics Faculty of Science Menofia University Department of mathematics Faculty of Science Mansoura University

In this paper, we introduce two subclasses Σ*q(φ) and Σ*q,α(φ) of meromorphic functions f(z) for whichqz Dq f(z)f(z)? φ(z) and

关键词： analytic function meromorphic function Fekete-Szeg problem q-derivative operator q-Bessel function

Subordination Results for p-Valent meromorphic Functions Associated with a Linear Operator

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Analysis in Theory and Applications 2014年第4期30卷 369-376页

作者： A.O.mostafa m.k.aouf Department of mathematics Faculty of Science Mansoura University

In this paper, by making use of the Hadamard products, we obtain some subordination results for certain family of meromorphic functions defined by using a new linear operator.

关键词： meromorphic functions subordination Hadamard product linear operator.

CERTAIN SUBCLASS OF p-VALENT mEROmORPHIC ANALYTIC FUNCTIONS INVOLVING CERTAIN INTEGRAL OPERATOR

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Analysis in Theory and Applications 2012年第4期28卷 312-320页

作者： m.k. aouf T.m. Seoudy mansoura University Fayoum University

The purpose of the present paper is to introduce a new subclass of p-valent meromorphic functions by using certain integral operator and to investigate various properties for this subclass.

关键词： analytic function meromorphic function hypergeometric function linear op-erator