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Convexity for New Integral Operator on k-uniformly p-valent a-convex Functions of Complex Order 被引量:1
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作者 LI Shu-hai MA Li-na A O-en 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第1期88-96,共9页
In this paper, we obtain the convexity of new general integral operator on some classes of k-uniformly p-valent a-convex functions of complex order. These results extend some known theorems.
关键词 analytic functions p-valently k-uniformly STARLIKE CONVEX integral operator
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New Criterion for Starlike Integral Operators
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作者 Aabed Mohammed Maslina Darus Daniel Breaz 《Analysis in Theory and Applications》 2013年第1期21-26,共6页
In this paper, we introduce new sufficient conditions for certain integral operators to be starlike and p-valently starlike in the open unit disk.
关键词 Analytic function univalent function p-valently starlike integral operator.
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On Sufficient Conditions for p-valently Close-to-convexity
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作者 XU Neng (Department of Mathematics, Changshu College, Changshu 215500, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期271-275,共5页
Let A p(n)(p, n∈N={1,2,…}) denote the class of functions of the form f(z)=z p+a p+n z p+n +… which are analytic in the unit disc E={z:|z|<1}. By using the method of differential subordinati ons we give som... Let A p(n)(p, n∈N={1,2,…}) denote the class of functions of the form f(z)=z p+a p+n z p+n +… which are analytic in the unit disc E={z:|z|<1}. By using the method of differential subordinati ons we give some sufficient conditions for a function f(z)∈A p(n) to be a certain subclass R p(n,k) of p-valently close-to-convexity funct ions. 展开更多
关键词 analytic functions p-valently close-to-convex ity functions SUBORDINATION
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解析函数的p叶性条件
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作者 杨定恭 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2002年第1期118-122,共5页
本文指出 M.Jahangiri的评论[Mathematical Reviews 98e:30020]错误,并且导出解析函数p叶星形性与p叶凸性的某些充分条件.
关键词 解析函数 p叶星形性 p叶凸性 充分条件
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p叶星形性与单叶性的一些充分条件(英文)
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作者 杨定恭 《苏州大学学报(自然科学版)》 CAS 1996年第2期35-41,共7页
本文导出单位圆盘内解析函数的p叶星形性与单叶性的某些充分条件,拓广和改进Owa[5,6]与Nunokawa[3]的若干主要结果。
关键词 单叶性 p叶星形性 解析函数 充分条件
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p叶星形性的判别准则
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作者 杨定恭 《常熟高专学报》 1999年第4期1-5,共5页
设Sn(p)(P,n∈N)表示单位圆盘内p叶星形函数f(z)=zp+ap+nzpP+n+…构成的类.本文给出函数f(z)属于类Sn(p)的新的充分条件.
关键词 从属 p叶星形函数 判别准则 解析函数
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一个p叶解析函数类的相关性质
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作者 李宗涛 邢婷文 郑艳伟 《华中师范大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第4期392-395,共4页
令Hn(p)表示在单位圆盘U={z:|z|<1}内形如f(z)=zp+∑+∞k=n+pakzk的函数,研究了它的一个子类,得到从属关系、包含关系、系数边界等性质.另外,也获得了一个卷积的包含性质.
关键词 解析函数 p叶函数 卷积 微分从属
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p叶星形性的某些充分条件
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作者 徐能 《苏州大学学报(自然科学版)》 CAS 2002年第1期27-32,共6页
设Ap(p为正整数 )表示单位圆盘E ={z∶|z| <1}内形为f(z) =zp+ap+1 zp+1 +…的解析函数类 .本文利用微分从属的方法给出使函数f(z)∈Ap 在p叶星象函数子类S p(A ,B) (- 1≤A <B≤ 1)
关键词 充分条件 解析函数 p叶星象函数 从属
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关于某些多叶解析函数
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作者 杨定恭 《常熟高专学报》 2002年第2期1-8,共8页
设Ap(k) (p,k为正整数 )表示单位圆盘E ={z:|z|<1 }内形为f(z) =zp+∑∞n =p+kanzn的解析函数类 ,Sp(k)表示由E内p叶星形函数组成的Ap(k)的子类 .本文导出含有Ap(k)中函数的几个不等式 ,并且给出函数属于类Sp(k)
关键词 多叶解析函数 p叶星形函数 不等式 单位圆盘
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THE LOGARITHMIC AREA THEOREM FOR ANALYTIC FUNCTIONS 被引量:2
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作者 董新汉 《Chinese Science Bulletin》 SCIE EI CAS 1992年第21期1774-1777,共4页
We shall establish the logarithmic area identity for analytic functions and the logarithmic area inequality for areally mean p-valent functions. Their applications will be discussed in other papers.
关键词 ANALYTIC FUNCTION areally mean p-valent logarithmic area
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Some Basic Properties for Certain Classes of p-valent Analytic Functions Using Differential Operator 被引量:1
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作者 ZHANG Hai- Yan TANG Huo +1 位作者 LI Shu-Hai MA Li-Na 《Chinese Quarterly Journal of Mathematics》 2018年第2期132-139,共8页
In this paper, we introduce new subclasses of p-valent analytic functions defined by using differential operator in the open unit disc. We study coefficient inequality, distortion theorem, radius of close to-convexity... In this paper, we introduce new subclasses of p-valent analytic functions defined by using differential operator in the open unit disc. We study coefficient inequality, distortion theorem, radius of close to-convexity, starlikeness and convexity, extreme points and integral operator for functions in these new subclasses. 展开更多
关键词 p-valent functions Differential operator Coefficient inequality Distortion theorem RADIUS
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Mapping Properties of Generalized Robertson Functions under Certain Integral Operators 被引量:1
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作者 Muhammad Arif Wasim Ul-Haq Muhammad Ismail 《Applied Mathematics》 2012年第1期52-55,共4页
In the present article, certain classes of generalized p-valent Robertson functions are considered. Mapping properties of these classes are investigated under certain p-valent integral operators introduced by Frasin r... In the present article, certain classes of generalized p-valent Robertson functions are considered. Mapping properties of these classes are investigated under certain p-valent integral operators introduced by Frasin recently. 展开更多
关键词 p-valent ANALYTIC FUNCTIONS BOUNDED Boundary ROTATIONS BOUNDED Radius ROTATIONS Integral Operators
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The Hardy-Stein-Spencer identities for meromorphic functions 被引量:1
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作者 董新汉 张顺燕 《Chinese Science Bulletin》 SCIE EI CAS 1996年第24期2038-2042,共5页
Let f(z) be defined in a point set D and n(f=w,D) be the number of roots in D ofthe equation f(z)=w.If f(z) is analytic in Δ={|Z|【1}。
关键词 meromorphic function Hardy-Stein-Spencer IDENTITIES areally mean p-valent.
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Some Applications of Differential Subordination of p-Valent Functions Associated with Cho-Kwon-Srivastava Operator
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作者 A.O.MOSTAFA M.K.AOUF 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第9期1483-1496,共14页
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
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Applications of the Differential Operator to the Class of p-Valent Functions
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作者 ZHOU Cong-hui 《Chinese Quarterly Journal of Mathematics》 2018年第2期199-205,共7页
In this paper, we define some new subclasses of strongly close-to-star and strongly close-to-convex p-valent functions defined in the open unit disc by using a differential operator. Some inclusion results, convolutio... In this paper, we define some new subclasses of strongly close-to-star and strongly close-to-convex p-valent functions defined in the open unit disc by using a differential operator. Some inclusion results, convolution properties are studied. 展开更多
关键词 p-valent function Strongly close-to-star function Strongly close-to-convex function Inclusion results
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STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR
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作者 Samaneh Gholizadeh HAMIDI Suzeini Abdul HALIM Janusz SOKóL 《Acta Mathematica Scientia》 SCIE CSCD 2014年第5期1446-1460,共15页
In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lαk . For functions in this class Hαk (p,λ;h) we estimate the coefficients. Furthermore, some subordinatio... In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lαk . For functions in this class Hαk (p,λ;h) we estimate the coefficients. Furthermore, some subordination properties related to the operator Lαk are also derived. 展开更多
关键词 analytic functions univalent functions p-valent functions differential subor-dination Carlson-Shaffer operator Salagean operator Dziok-Srivastava oper-ator
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On Certain Classes of p-Valent Functions
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作者 M. K. AOUF (Dept. of Math. Faculty of Science Univ. of Mansoura,Mansoura,Egypt) 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1994年第2期1-5,共5页
There are many classes of analytic and p-valent functions in the unit disc U. We shall consider about the special classes Sλ (p,α,β) and Cλ (P, α, β)(0≤λ≤1, 0≤α≤1, p∈N={1,2,…}) of analytic and p-valent f... There are many classes of analytic and p-valent functions in the unit disc U. We shall consider about the special classes Sλ (p,α,β) and Cλ (P, α, β)(0≤λ≤1, 0≤α≤1, p∈N={1,2,…}) of analytic and p-valent functions in the unit disc U. The object of the present paper is to show some distortion theorems and some interesting coefficient estimates for the classes Sλ(p, α,β),Cλ (p, α, β), S0 (p, α, β), C0(p,α,β), Sλ(P, α, 1) and Cλ (p, α, 1). 展开更多
关键词 ss: ANALYTIC p-valent STARLIKE COEFFICIENT
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Some Inequalities on <i>p</i>-Valent Functions Related to Geometric Structure Based on <i>q</i>-Derivative
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作者 Shahram Najafzadeh Deborah Olufunmilayo Makinde 《Journal of Applied Mathematics and Physics》 2020年第2期301-306,共6页
By applying the q-derivative, we introduce two new subclasses of p-valent functions with positive coefficients. By means of the well-known Jack’s lemma, some inequalities related to starlike, convex and close-to-conv... By applying the q-derivative, we introduce two new subclasses of p-valent functions with positive coefficients. By means of the well-known Jack’s lemma, some inequalities related to starlike, convex and close-to-convex functions are also obtained. 展开更多
关键词 p-valent FUNCTIONS Jack’s Lemma STARLIKE Convex and CLOSE-TO-CONVEX FUNCTIONS
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SUBORDINATION PROPERTIES OF MULTIVALENT FUNCTIONS INVOLVING AN EXTENDED FRACTIONAL DIFFERINTEGRAL OPERATOR
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作者 Mohamed K.AOUF Teodor BULBOACA Rabha M.EL-ASHWASH 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期367-379,共13页
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... 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 fractional differintegral operator Ω(λ,p). 展开更多
关键词 Analytic functions p-valent functions meromorphic functions differintegraloperator differential subordination
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Coefficient Inequalities for p-Valent Functions
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作者 T.Panigrahi R.N.Mohapatra 《Analysis in Theory and Applications》 CSCD 2018年第2期112-126,共15页
In the present paper, the authors introduce a new subclass of p-valent analytic functions with complex order defined on the open unit disk U={z:z∈C and |z|<1} and obtain coefficient inequalities for the functions ... In the present paper, the authors introduce a new subclass of p-valent analytic functions with complex order defined on the open unit disk U={z:z∈C and |z|<1} and obtain coefficient inequalities for the functions in these class. Application of these results for the functions defined by the convolution are also obtained. 展开更多
关键词 p-valent function SUBORDINATION COEFFICIENT INEQUALITIES CONVOLUTION
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