Add to ORKGAbstract. Let ϕ be analytic in the unit disk D and let ϕ(D) ⊂ D, ϕ(0) 6 = 0. Then w = z/ϕ(z) has an analytic inverse z = f(w), w ∈ D, the fixed point function. Here f(D) is a starlike domain and various results suggest that f(D) might even be hyperbolically convex. We study the derivative and the coefficients of f, in particular their asymptotic behaviour. In the case that ϕ is the generating function of a random variable, several functions related to f have probabilistic interpretations
In this letter, we introduce meromorphically starlike functions by using a particular class of analy...
AbstractLet A denote the class of functions f(z) which are analytic in the open unit disk and normal...
An analytic function f(z)=z+a n+1 z n+1+⋯, defined on the unit disk △={z:|z|<1}, is in the class S ...
Abstract. Let ϕ be analytic in the unit disk D and let ϕ(D) ⊂ D, ϕ(0) 6 = 0. Then w = z/ϕ(z) has an...
Let be the class of analytic functions in the unit disk that are normalized with f (0)
Abstract. A conformal mapping f of the unit disk D into itself is called hyperbolically convex if th...
Abstract. We investigate the generalization of the starlikeness of complex order and the generalizat...
In this paper, we introduce a new subclass of analytic functions in open unit disc. We obtain coeffi...
AbstractLet φ(z) be an analytic function with positive real part on Δ={z;|z|<1} with φ(0)=1, φ′(0)>0...
Making use of convolution, we introduce and investigate a certain class of functions which is analyt...
AbstractLet B denote the set of functions ϕ(z) that are analytic in the unit disk D and satisfy |ϕ(z...
We use the concept of angular derivative and the hyperbolic metric in the unit diskD, to study the d...
In this paper we study the class \(\mathcal{U}\) of functions that are analytic in the open unit dis...
Abstract. For functions f (z) = zp+an+1zp+1+· · · defined on the open unit disk, the con-dition Re ...
The dominant theme of this thesis is that random matrix valued analytic functions, generalizing both...
In this letter, we introduce meromorphically starlike functions by using a particular class of analy...
AbstractLet A denote the class of functions f(z) which are analytic in the open unit disk and normal...
An analytic function f(z)=z+a n+1 z n+1+⋯, defined on the unit disk △={z:|z|<1}, is in the class S ...
Abstract. Let ϕ be analytic in the unit disk D and let ϕ(D) ⊂ D, ϕ(0) 6 = 0. Then w = z/ϕ(z) has an...
Let be the class of analytic functions in the unit disk that are normalized with f (0)
Abstract. A conformal mapping f of the unit disk D into itself is called hyperbolically convex if th...
Abstract. We investigate the generalization of the starlikeness of complex order and the generalizat...
In this paper, we introduce a new subclass of analytic functions in open unit disc. We obtain coeffi...
AbstractLet φ(z) be an analytic function with positive real part on Δ={z;|z|<1} with φ(0)=1, φ′(0)>0...
Making use of convolution, we introduce and investigate a certain class of functions which is analyt...
AbstractLet B denote the set of functions ϕ(z) that are analytic in the unit disk D and satisfy |ϕ(z...
We use the concept of angular derivative and the hyperbolic metric in the unit diskD, to study the d...
In this paper we study the class \(\mathcal{U}\) of functions that are analytic in the open unit dis...
Abstract. For functions f (z) = zp+an+1zp+1+· · · defined on the open unit disk, the con-dition Re ...
The dominant theme of this thesis is that random matrix valued analytic functions, generalizing both...
In this letter, we introduce meromorphically starlike functions by using a particular class of analy...
AbstractLet A denote the class of functions f(z) which are analytic in the open unit disk and normal...
An analytic function f(z)=z+a n+1 z n+1+⋯, defined on the unit disk △={z:|z|<1}, is in the class S ...