On a Global Descent Method for Polynomials.
On a Hölder type estimate for quasisymmetric functions
We give a Hölder type estimate for normalized ρ-quasisymmetric functions, improving some results of J. Zając.
On a Linear Combination of Some Expressions in the Theory of the Univalent Functions.
On a metrical theorem in geometry of circles
On a Mocanu type generalization of the Kaplan class K(α, β) of analytic functions
On a modification of the Poisson integral operator
Given a quasisymmetric automorphism γ of the unit circle T we define and study a modification Pγ of the classical Poisson integral operator in the case of the unit disk D. The modification is done by means of the generalized Fourier coefficients of γ. For a Lebesgue's integrable complex-valued function f on T, Pγ[f] is a complex-valued harmonic function in D and it coincides with the classical Poisson integral of f provided γ is the identity mapping on T. Our considerations are motivated by the...
On a new class of harmonic univalent functions
On a new Subclass of Analytic P-valent Functions
On a new subclass of analytic p-valent functions.
On a new subclass of the class S
On a paper of Carleson.
On a Parametric Method for Conformal Maps with Quasiconformal Extensions
On a particular second-order nonlinear differential subordination I.
On a polynomial inequality of P. Erdős and T. Grünwald.
On a Problem Concerning Harmonic Measure.
On a problem of Avhadiev.
On a Problem of Best Uniform Approximation and a Polynomial Inequality of Visser
In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
On a problem of Pólya and Szegö.
On a radius problem concerning a class of close-to-convex functions
The problem of estimating the radius of starlikeness of various classes of close-to-convex functions has attracted a certain number of mathematicians involved in geometric function theory ([7], volume 2, chapter 13). Lewandowski [11] has shown that normalized close-to-convex functions are starlike in the disc . Krzyż [10] gave an example of a function , non-starlike in the unit disc , and belonging to the class H = f | f’() lies in the right half-plane. More generally let H* = f | f’() lies in...
On a representation of the derivative of a conformal mapping.