Add to ORKGLet ＄f(z)＄ be analytic in ＄D=￥{z:|z|<1￥}＄ and ＄f(O)=0＄. It is shown that if ＄|￥frac{f^{￥prime}(z)}{f^{￥prime}(z)}|<￥frac{￥sqrt{a}}{2}＄ ＄(z￥in D)＄ , where ＄￥sqrt{￥alpha}/2=2.5159￥cdots＄ , then ＄f(z)＄ is starlike in ＄D＄
We consider strongly starlikeness of order α of functions f(z)=z+an+1zn+1+⋯ which are analytic in th...
Abstract. Let f(z) = z+a2z2+a3z3+·· · be an analytic function in the open unit disk. A sharp upper b...
Abstract. Let f(z) = z+a2z2+a3z3+·· · be an analytic function in the open unit disk. A sharp upper b...
We consider the class of univalent functions f(z)=z+a3z3+a4z4+⋯ analytic in the unit disc and satis...
AbstractA condition for starlikeness will be improved given by the inequality Re(f′(x)+αzf″(z))>0, z...
Suppose that f(z)=z+a2z2+……is analytic and satisfies Re{f(z)/z}>1/2 forz<1,then f(z)is univalent and...
Let f(z)=∑k=0∞akzk, a0≠0 be analytic in the unit disc. Any infinite complex vector θ=(θ0,θ1,θ2,…) su...
AbstractWe denote by A, the class of all analytic functions f in the unit disc Δ={z∈C:|z|<1} with th...
Let A be the class of analytic functions f defined in the open unit disk E and normalized by f(0)=f'...
Let be the class of analytic functions in the unit disk that are normalized with f(0)=f′(0)−1=0 and...
We consider certain properties of f(z)f″(z)/f′2(z) as a sufficient condition for starlikeness
Let $S $ be the class of analytic functions $f(z) $ normalized with $f(0)=0 $ and $f’(0)=1$ which ar...
In this paper we study the class \(\mathcal{U}\) of functions that are analytic in the open unit dis...
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 ...
Let ＄S＄ denote the class of functions of the form ＄f(z)=z-￥sum_{n=2}^{￥infty}|a_{n}|z^{n}＄ that are ...
We consider strongly starlikeness of order α of functions f(z)=z+an+1zn+1+⋯ which are analytic in th...
Abstract. Let f(z) = z+a2z2+a3z3+·· · be an analytic function in the open unit disk. A sharp upper b...
Abstract. Let f(z) = z+a2z2+a3z3+·· · be an analytic function in the open unit disk. A sharp upper b...
We consider the class of univalent functions f(z)=z+a3z3+a4z4+⋯ analytic in the unit disc and satis...
AbstractA condition for starlikeness will be improved given by the inequality Re(f′(x)+αzf″(z))>0, z...
Suppose that f(z)=z+a2z2+……is analytic and satisfies Re{f(z)/z}>1/2 forz<1,then f(z)is univalent and...
Let f(z)=∑k=0∞akzk, a0≠0 be analytic in the unit disc. Any infinite complex vector θ=(θ0,θ1,θ2,…) su...
AbstractWe denote by A, the class of all analytic functions f in the unit disc Δ={z∈C:|z|<1} with th...
Let A be the class of analytic functions f defined in the open unit disk E and normalized by f(0)=f'...
Let be the class of analytic functions in the unit disk that are normalized with f(0)=f′(0)−1=0 and...
We consider certain properties of f(z)f″(z)/f′2(z) as a sufficient condition for starlikeness
Let $S $ be the class of analytic functions $f(z) $ normalized with $f(0)=0 $ and $f’(0)=1$ which ar...
In this paper we study the class \(\mathcal{U}\) of functions that are analytic in the open unit dis...
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 ...
Let ＄S＄ denote the class of functions of the form ＄f(z)=z-￥sum_{n=2}^{￥infty}|a_{n}|z^{n}＄ that are ...
We consider strongly starlikeness of order α of functions f(z)=z+an+1zn+1+⋯ which are analytic in th...
Abstract. Let f(z) = z+a2z2+a3z3+·· · be an analytic function in the open unit disk. A sharp upper b...
Abstract. Let f(z) = z+a2z2+a3z3+·· · be an analytic function in the open unit disk. A sharp upper b...