A uniformly quasiconformal group not isomorphic to a Möbius group.
We continue our previous work on a problem of Janiec connected with a uniqueness theorem, of Cartan-Gutzmer type, for holomorphic mappings in ℂⁿ. To solve this problem we apply properties of (j;k)-symmetrical functions.
A sufficient univalence condition for meromorphic functions is given
The paper is devoted to a class of functions analytic and univalent in the unit disk that are connected with an antigraphy . Variational formulas and Grunsky inequalities are derived. As an application there are given some estimations in the considered class of functions.
We give a relation between the sign of the mean of an integer-valued, left bounded, random variable and the number of zeros of inside the unit disk, where is the generating function of , under some mild conditions
Zero sets and uniqueness sets of the classical Dirichlet space are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for . Then we discuss the relation between the zero sets of and those of .