Add to ORKGIn this note, we will prove the Ahlfors{Lehto univalence criterion in a general form. This enables us to deduce lower estimates of the inner radius of univalence for an arbitrary quasidisk in terms of a given quasiconformal reflection
Abstract. It is well known that the Schwarzian derivative of an analytic map defined in a domain in ...
We define the John constant y(D) of a domain D cz C to be sup (a \u3e 1:1 \u3c /\u27(z)l ^a\u3e n...
The Jenkins inequality for univalent functions is generalized for a class of pairs of meromorphic in...
Let f (z) be a holomorphic function defined on unit disc U: {z: lrl < 1} and.Sy: (f " lf&apo...
Let A be a domain in the extended complex plane, conformally equivalent to a disc. We denote by pnld...
},et Abe a quasidisc. Denote by g, the density of the Poincard metric in l, so normalized that pr(x ...
If \(\Omega\) is a simply connected domain in \(\overline{\mathbf C}\) then, according to the Ahlfor...
The radius of univalence is found for the convolution f∗g of functions f∈S (normalized univalent fun...
ABSTRACT. The inner radius of univalence of a domain $D $ with Poincar\’e density $\rho_{D} $ is the...
ABSTRACT. The radius of univalence is found for the convolution f, # of functions f E S (normalized ...
53 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.Here we provide a simple outli...
Using two methods, quasiconformal continuation involving a theorem of Hadamard and direct estimation...
Let f be holomorpic and univalent in the unit disc E and f(E) be convex. We consider the conformal r...
Abstract. In this paper we obtain by the method of subordination chains an univalence criterion for ...
Abstract. Norm estimates of the pre-Schwarzian derivatives are given for meromorphic functions in th...
Abstract. It is well known that the Schwarzian derivative of an analytic map defined in a domain in ...
We define the John constant y(D) of a domain D cz C to be sup (a \u3e 1:1 \u3c /\u27(z)l ^a\u3e n...
The Jenkins inequality for univalent functions is generalized for a class of pairs of meromorphic in...
Let f (z) be a holomorphic function defined on unit disc U: {z: lrl < 1} and.Sy: (f " lf&apo...
Let A be a domain in the extended complex plane, conformally equivalent to a disc. We denote by pnld...
},et Abe a quasidisc. Denote by g, the density of the Poincard metric in l, so normalized that pr(x ...
If \(\Omega\) is a simply connected domain in \(\overline{\mathbf C}\) then, according to the Ahlfor...
The radius of univalence is found for the convolution f∗g of functions f∈S (normalized univalent fun...
ABSTRACT. The inner radius of univalence of a domain $D $ with Poincar\’e density $\rho_{D} $ is the...
ABSTRACT. The radius of univalence is found for the convolution f, # of functions f E S (normalized ...
53 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.Here we provide a simple outli...
Using two methods, quasiconformal continuation involving a theorem of Hadamard and direct estimation...
Let f be holomorpic and univalent in the unit disc E and f(E) be convex. We consider the conformal r...
Abstract. In this paper we obtain by the method of subordination chains an univalence criterion for ...
Abstract. Norm estimates of the pre-Schwarzian derivatives are given for meromorphic functions in th...
Abstract. It is well known that the Schwarzian derivative of an analytic map defined in a domain in ...
We define the John constant y(D) of a domain D cz C to be sup (a \u3e 1:1 \u3c /\u27(z)l ^a\u3e n...
The Jenkins inequality for univalent functions is generalized for a class of pairs of meromorphic in...