On a theorem of Beardon and Maskit.
On a theorem of Haimo regarding concave mappings
A relatively simple proof is given for Haimo's theorem that a meromorphic function with suitably controlled Schwarzian derivative is a concave mapping. More easily verified conditions are found to imply Haimo's criterion, which is now shown to be sharp. It is proved that Haimo's functions map the unit disk onto the outside of an asymptotically conformal Jordan curve, thus ruling out the presence of corners.
On a theorem of inversive geometry
On a theorem of Lindelöf
We give a quasiconformal version of the proof for the classical Lindelöf theorem: Let f map the unit disk D conformally onto the inner domain of a Jordan curve C. Then C is smooth if and only if arh f'(z) has a continuous extension to D. Our proof does not use the Poisson integral representation of harmonic functions in the unit disk.
On a theorem of Nehari and quasidiscs.
On a Theorem of Study Concerning Conformal Maps with Convex Images II.
On alpha-close-to-convex functions of order beta.
On an application of the theorem of Apollonius
On an asymptotically sharp variant of Heinz's inequality.
On an estimate of a functional in the class of holomorphic univalent functions
Let denote the class of functions univalent and holomorphic in the unit disc . In the paper we obtain an estimate of the functional in the class for arbitrarily fixed and . Hence, for some special values of the parameters, we obtain estimates of several interesting functionals and numerous applications. A few open problems of a similar type are also formulated.
On an extension of a result due to Pólya.
On an extension of the definition of transfinite diameter and some applications.
On an extremal problem
Let denote the class of functions univalent and holomorphic in the unit disc . In the paper we obtain a sharp estimate of the functional in the class for an arbitrary .
On an extremum problem in the class of mappings, quasiconformal in the mean.
On an integral inequality for certain analytic functions.
On an integral operator of meromorphic functions
On an integral operator which preserve the univalence.
On analytic functions related to certain family of integral operators.
On analytic functions with positive real part.
On Analytic Self -Mappings of Riemann Surfaces II.