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.
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
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.
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 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
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.
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 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
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
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
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
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
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.
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.
文摘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.
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.
文摘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.
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.
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 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.
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.
文摘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).
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.