On subclasses of close-to-convex and quasi-convex functions with respect to -symmetric conjugate points.
On subclasses of close-to-convex functions of higher order.
On subordination and superordination of new multiplier transformation.
On subordination and superordination of the multiplier transformation for meromorphic functions.
On subordination for classes of non-Bazilevič type
We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevič type in the open unit disk. By using Jack's lemma, sufficient conditions for this type of operator are also discussed.
On subordination of certain subclass of analytic functions.
On subordinations for certain multivalent analytic functions associated with the generalized hypergeometric function.
On sufficient conditions and angular properties of starlikeness and convexity for the class of multivalent Bazilević functions.
On supports of dynamical laminations and biaccessible points in polynomial Julia sets
We use Beurling estimates and Zdunik's theorem to prove that the support of a lamination of the circle corresponding to a connected polynomial Julia set has zero length, unless f is conjugate to a Chebyshev polynomial. Equivalently, except for the Chebyshev case, the biaccessible points in the connected polynomial Julia set have zero harmonic measure.
On Teichmüller's modulus problem in R...
On the analytic capacity and curvature of some Cantor sets with non-σ-finite length.
We show that if a Cantor set E as considered by Garnett in [G2] has positive Hausdorff h-measure for a non-decreasing function h satisfying ∫01 r−3 h(r)2 dr < ∞, then the analytic capacity of E is positive. Our tool will be the Menger three-point curvature and Melnikov’s identity relating it to the Cauchy kernel. We shall also prove some related more general results.
On the Approximate Conformai Mapping of Multiply Connected Domains.
On the asymptotic Bieberbach conjecture.
On the asymptotic values of locally univalent meromorphic functions.
On the behavior of algebraic polynomials in regions with piecewise smooth boundary without cusps
We continue studying the estimation of Bernstein-Walsh type for algebraic polynomials in regions with piecewise smooth boundary.
On the Behavior of Holomorphic Functions Near Maximum Modulus Sets.
On the boundary behaviour of automorphisms of a ball with growing coefficient of quasiconformality
On the Boundary Derivative for Univalent Functions.
On the bounds of multivalently starlikeness and convexity.
On the capacity of a plane condenser and conformal mapping.