Schwarzian derivatives, the Poincaré metric and the kernel function.
Short separating geodesics for multiply connected domains
We consider the following questions: given a hyperbolic plane domain and a separation of its complement into two disjoint closed sets each of which contains at least two points, what is the shortest closed hyperbolic geodesic which separates these sets and is it a simple closed curve? We show that a shortest geodesic always exists although in general it may not be simple. However, one can also always find a shortest simple curve and we call such a geodesic a meridian of the domain. We prove that,...
Some Extremal Problems for Functions Univalent in an Annulus.
Stagnation zones of ideal flows in long and narrow bands.
Subclasses of close-to-convex functions.
Substantial boundary points for plane domains and Gardiner's conjecture.
Sur une inégalité de Garabedian-Schiffer-Nehari pour les fonctions univalentes bornées