In this paper, we introduce two subclasses Eq ＊（φ） and ∑＊q,a（φ） of meromorphic functions f（z） for which qzDqf（z）/f（z）〈φ （z） and-（1-a/q）qzDqf（z）＋azqDq[zDqf（z）]/（1-a/q）f（z）-azDqf（z）〈φ（...In this paper, we introduce two subclasses Eq ＊（φ） and ∑＊q,a（φ） of meromorphic functions f（z） for which qzDqf（z）/f（z）〈φ （z） and-（1-a/q）qzDqf（z）＋azqDq[zDqf（z）]/（1-a/q）f（z）-azDqf（z）〈φ（z）,a ∈ C／（0,1],0〈q〈1, respectively. Sharp bounds for the Fekete-Szeg5 functional lal-tta21 of the above classes are obtained. Also, we consider some applications of the results obtained to functions defined by q-Bessel function.展开更多
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.
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.
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...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,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≤ρ<1)for the classes P_o(A,B,k, α,β,z_0) and P_1(A,B,k,α,β,z_o).展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.1156100111271045)+8 种基金the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14)the Natural Science Foundation of Inner Mongolia(Grant Nos.2010MS01172014MS01012017MS0113)the Higher School Foundation of Inner Mongolia(Grant Nos.NJZY16251NJZY17300NJZY17301NJZY18217)the Natural Science Foundation of Chifeng
文摘In this paper, we introduce two subclasses Eq ＊（φ） and ∑＊q,a（φ） of meromorphic functions f（z） for which qzDqf（z）/f（z）〈φ （z） and-（1-a/q）qzDqf（z）＋azqDq[zDqf（z）]/（1-a/q）f（z）-azDqf（z）〈φ（z）,a ∈ C／（0,1],0〈q〈1, respectively. Sharp bounds for the Fekete-Szeg5 functional lal-tta21 of the above classes are obtained. Also, we consider some applications of the results obtained to functions defined by q-Bessel function.
文摘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.
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,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≤ρ<1)for the classes P_o(A,B,k, α,β,z_0) and P_1(A,B,k,α,β,z_o).
