In this paper we consider the extreme points of closed convex hull of the class T σ(p,α) and then it is used to determine the coefficient bounds. Some other interesting properties of the class T σ(p,α) are also...In this paper we consider the extreme points of closed convex hull of the class T σ(p,α) and then it is used to determine the coefficient bounds. Some other interesting properties of the class T σ(p,α) are also investigated.展开更多
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.
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
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
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
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
In the present paper, we study certain differential inequalities involving p-valent functions and obtain sufficient conditions for uniformly p-valent starlikeness and uniformly p-valent convexity. We also offer a corr...In the present paper, we study certain differential inequalities involving p-valent functions and obtain sufficient conditions for uniformly p-valent starlikeness and uniformly p-valent convexity. We also offer a correct version of some known criteria for uniformly p-valent starlike and uniformly p-valent convex functions.展开更多
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
In this paper, a new certain class of р-valent analytic functions with quasisubordination is defined and the Fekete-Szeg? problems for functions belonging to the class are derived. The results presented here provide ...In this paper, a new certain class of р-valent analytic functions with quasisubordination is defined and the Fekete-Szeg? problems for functions belonging to the class are derived. The results presented here provide extensions of those given in some earlier works.展开更多
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.
用H adam ard积(或卷积)定义线性算子In+p-1,并利用算子In+p-1研究在单位圆内解析的p叶函数类Τn+p-1(η;A,B),给出函数f(z)属于类Τn+p-1(η;A,B)的充分必要条件,考虑了函数在积分算子Fλ,p作用下的保持关系,还考虑了星像函数和凸像函...用H adam ard积(或卷积)定义线性算子In+p-1,并利用算子In+p-1研究在单位圆内解析的p叶函数类Τn+p-1(η;A,B),给出函数f(z)属于类Τn+p-1(η;A,B)的充分必要条件,考虑了函数在积分算子Fλ,p作用下的保持关系,还考虑了星像函数和凸像函数的半径.展开更多
文摘In this paper we consider the extreme points of closed convex hull of the class T σ(p,α) and then it is used to determine the coefficient bounds. Some other interesting properties of the class T σ(p,α) are also investigated.
基金Foundation item： Supported by the Natural Science Foundation of Inner Mongolia（2009MS0113） Sup- ported by the Higher School Research Foundation of Inner Mongolia（NJzy08150）
文摘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.
基金Supported by the Natural Science Foundation of the People’s Republic of China under Grant（11561001） Supported by the Natural Science Foundation of Inner Mongolia of the People’s Republic of China under Grant（2014MS0101）
文摘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.
基金supported by CSIR research project scheme No. 25(0278)/17/EMR-Ⅱ, New Delhi, India
文摘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.
文摘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).
文摘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.
文摘In the present paper, we study certain differential inequalities involving p-valent functions and obtain sufficient conditions for uniformly p-valent starlikeness and uniformly p-valent convexity. We also offer a correct version of some known criteria for uniformly p-valent starlike and uniformly p-valent convex functions.
文摘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.
基金Supported by the National Natural Science Foundation of China(Grant No.11561001)the Natural Science Foundation of Inner Mongolia of China(Grant No.2014MS0101)the Higher School Foundation of Inner Mongolia of China(Grant No.2015NJZY240,Grant No.2016NJZY251)
文摘In this paper, a new certain class of р-valent analytic functions with quasisubordination is defined and the Fekete-Szeg? problems for functions belonging to the class are derived. The results presented here provide extensions of those given in some earlier works.
文摘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.
