A third-order differential equation and starlikeness of a double integral operator.
A topological dichotomy with applications to complex analysis
Let X be a compact topological space, and let D be a subset of X. Let Y be a Hausdorff topological space. Let f be a continuous map of the closure of D to Y such that f(D) is open. Let E be any connected subset of the complement (to Y) of the image f(∂D) of the boundary ∂D of D. Then f(D) either contains E or is contained in the complement of E. Applications of this dichotomy principle are given, in particular for holomorphic maps, including maximum and minimum modulus principles,...
A trace-class rigidity theorem for Kleinian groups.
A unicity theorem for meromorphic functions.
A Unified Approach to Methods for the Simultaneous Computation of All Zeros of Generalized Polynomials.
A unified approach to radius of convexity problems for certain classes of univalent analytic functions.
A unified treatment of certain subclasses of prestarlike functions.
A uniformly quasiconformal group not isomorphic to a Möbius group.
A uniqueness result related to meromorphic functions sharing two sets.
A uniqueness theorem for monogenic functions.
A uniqueness theorem of Cartan-Gutzmer type for holomorphic mappings in ℂⁿ
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 univalence criterion for meromorphic functions
A sufficient univalence condition for meromorphic functions is given
A univalence preserving integral operator.
A value-distribution criterion for the class and some related questions
We give a necessary and sufficient condition for an analytic function in to have real part in class . This condition contains the classical one of Zygmund; other variants are also given.
A Vanishing Theorem for Power Series.
A variational method for a class of odd functions in an annulus
A variational method for univalent functions connected with antigraphy
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.
A weak type inequality for Cauchy transforms of finite measures.
In this note we present a simple proof of a recent result of Mattila and Melnikov on the existence of limε→0 ∫|ζ-z|>ε (ζ - z)-1dμ(ζ) for finite Borel measures μ in the plane.
A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups.
A weighted interpolation problem for analytic functions