Let H denote the class of functions f(z)=z+∑k=2∞akzk which are analytic in the unit disc Δ={z:|z|<1}. In this paper, we introduce the class Mαλ[A,B] of functions f∈H with f(z)f′(z)/z≠0, satisfying for z∈Δ:{(eiλ−αcosλ)(zf′(z)/f(z))+αcosλ(1+zf″(z)/f′(z))}≺cosλ((1+Az)/(1+Bz))+isinλ, where ≺ denotes subordination, α and λ are real numbers, |λ|<π/2 and −1≤B<A≤1. Functions in Mαλ[A,B] are shown to be λ-spiral like and hence univalent. Integral representation, coefficients bounds, and other results are given
Let K denote the class of functions g(z) = z+a2z2+·· · which are regular and univalently convex in ...
Let Sλ(A,B,p,α)(|λ|<π2, −1≦A<B≦1 and 0≦α<p), denote the class of functions f(z)=zp+∑n=p+1∞anzn analy...
Let (,,,)(−1≤0) denote the class of functions of the form ∑()=+∞=+1(∈={1,2,3,…}), which ...
Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ) (n ∈ {0,1,2,3,...}, −...
Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ) (n ∈ {0,1,2,3,...}, −...
AbstractLet A denote the class of functions f that are analytic in the unit disc D and normalized by...
Let A denote the class of functions f that are analytic in the unit disc D and normalized by f(0) = ...
Let S be the class of functions f which are analytic and univalent in the open unit disc D = {z: |z ...
For a fixed analytic function g(z)=z+∑n=2∞gnzn defined on the open unit disk and γ<1, let Tg(γ) den...
Let be the class of analytic functions in the unit disk that are normalized with f(0)=f′(0)−1=0 and...
Let K denote the class of functions g(z)=z+a2z2+⋯ which are regular and univalently convex in the un...
AbstractIn this paper we shall introduce and study some subordination results for the class of γ-spi...
For a fixed analytic function g(z) = z +∑∞n=2gnzn defined on the open unit disk and γ < 1, let T...
In this paper we shall introduce and study some subordination results for the class of γ-spirallike ...
For a fixed analytic function g(z) = z +∑∞n=2gnzn defined on the open unit disk and γ < 1, let T...
Let K denote the class of functions g(z) = z+a2z2+·· · which are regular and univalently convex in ...
Let Sλ(A,B,p,α)(|λ|<π2, −1≦A<B≦1 and 0≦α<p), denote the class of functions f(z)=zp+∑n=p+1∞anzn analy...
Let (,,,)(−1≤0) denote the class of functions of the form ∑()=+∞=+1(∈={1,2,3,…}), which ...
Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ) (n ∈ {0,1,2,3,...}, −...
Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ) (n ∈ {0,1,2,3,...}, −...
AbstractLet A denote the class of functions f that are analytic in the unit disc D and normalized by...
Let A denote the class of functions f that are analytic in the unit disc D and normalized by f(0) = ...
Let S be the class of functions f which are analytic and univalent in the open unit disc D = {z: |z ...
For a fixed analytic function g(z)=z+∑n=2∞gnzn defined on the open unit disk and γ<1, let Tg(γ) den...
Let be the class of analytic functions in the unit disk that are normalized with f(0)=f′(0)−1=0 and...
Let K denote the class of functions g(z)=z+a2z2+⋯ which are regular and univalently convex in the un...
AbstractIn this paper we shall introduce and study some subordination results for the class of γ-spi...
For a fixed analytic function g(z) = z +∑∞n=2gnzn defined on the open unit disk and γ < 1, let T...
In this paper we shall introduce and study some subordination results for the class of γ-spirallike ...
For a fixed analytic function g(z) = z +∑∞n=2gnzn defined on the open unit disk and γ < 1, let T...
Let K denote the class of functions g(z) = z+a2z2+·· · which are regular and univalently convex in ...
Let Sλ(A,B,p,α)(|λ|<π2, −1≦A<B≦1 and 0≦α<p), denote the class of functions f(z)=zp+∑n=p+1∞anzn analy...
Let (,,,)(−1≤0) denote the class of functions of the form ∑()=+∞=+1(∈={1,2,3,…}), which ...