Let A be the class of functions f(z)=z+sum from n=2 to ∞ (a_nZ^n) which are analytic in the unit disc, and let In this paper, Some properties of Q_α(β) and R_α(β) are investigated. In particular, Some results due...Let A be the class of functions f(z)=z+sum from n=2 to ∞ (a_nZ^n) which are analytic in the unit disc, and let In this paper, Some properties of Q_α(β) and R_α(β) are investigated. In particular, Some results due to chichra [4], Mocanu[5] and Obradovic[6] are extended. In addition, We also showed an error of S. Owa[8].展开更多
Let S(P)be the class of functions f(z)=z^p-sum form n=k to ∞a_n+_pz^(n-p)(p=2,3,…)which areanalytic in the unit disc D={z∶|z|<1}.For 0≤x≤1,0≤β<1 and 0<γ≤1,Let P_k(α,β,γ)be the class of those funct...Let S(P)be the class of functions f(z)=z^p-sum form n=k to ∞a_n+_pz^(n-p)(p=2,3,…)which areanalytic in the unit disc D={z∶|z|<1}.For 0≤x≤1,0≤β<1 and 0<γ≤1,Let P_k(α,β,γ)be the class of those functions f(z)of S(P)which satisfy the展开更多
Let A denote the class of funetions f(z) defined by f(z)=z-sum from n=2 to ∞a_nz^n (a_n>0) (1) which are analytic in the unit disk U= {z:|z|<1}. A function f(z)∈A is said to be in the class S (x,β,γ), if and...Let A denote the class of funetions f(z) defined by f(z)=z-sum from n=2 to ∞a_nz^n (a_n>0) (1) which are analytic in the unit disk U= {z:|z|<1}. A function f(z)∈A is said to be in the class S (x,β,γ), if and only if |(f′(z)-1)/(af′(z)+1-(1+α)β)|<γ(2) for 0<x<1, 0<β<1, and 0<<1.展开更多
文摘Let A be the class of functions f(z)=z+sum from n=2 to ∞ (a_nZ^n) which are analytic in the unit disc, and let In this paper, Some properties of Q_α(β) and R_α(β) are investigated. In particular, Some results due to chichra [4], Mocanu[5] and Obradovic[6] are extended. In addition, We also showed an error of S. Owa[8].
文摘Let S(P)be the class of functions f(z)=z^p-sum form n=k to ∞a_n+_pz^(n-p)(p=2,3,…)which areanalytic in the unit disc D={z∶|z|<1}.For 0≤x≤1,0≤β<1 and 0<γ≤1,Let P_k(α,β,γ)be the class of those functions f(z)of S(P)which satisfy the
文摘Let A denote the class of funetions f(z) defined by f(z)=z-sum from n=2 to ∞a_nz^n (a_n>0) (1) which are analytic in the unit disk U= {z:|z|<1}. A function f(z)∈A is said to be in the class S (x,β,γ), if and only if |(f′(z)-1)/(af′(z)+1-(1+α)β)|<γ(2) for 0<x<1, 0<β<1, and 0<<1.
