On a class of univalent functions defined by Sălăgean differential operator.
On a class of -convex functions.
On a conformal-mapping property
On a conjecture of A. Schinzel and H. Zassenhaus
On a Conjecture of Sendov about the Critical Points of a Polynomial.
On a Convexity Preserving Integral Operator
MSC 2010: 30C45, 30A20, 34C40In this paper we determine conditions an analytic function g needs to satisfy in order that the function Fgiven by (1) be convex.
On a convolution conjecture of bounded functions.
On a differential inequality II.
On a fundamental variational lemma for extremal quasiconformal mappings.
On a generalization of alpha convexity.
On a generalization of close-to-convex functions
The paper of M. Ismail et al. [Complex Variables Theory Appl. 14 (1990), 77-84] motivates the study of a generalization of close-to-convex functions by means of a q-analog of the difference operator acting on analytic functions in the unit disk 𝔻 = {z ∈ ℂ:|z| < 1}. We use the term q-close-to-convex functions for the q-analog of close-to-convex functions. We obtain conditions on the coefficients of power series of functions analytic in the unit disk which ensure that they generate functions in...
On a generalization of close-to-convexity.
On a geometric property of Lemniscates.
On a geometric property of Lemniscates. (Short Communication).
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...