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.
On a result by Clunie and Sheil-Small
In 1984 J. Clunie and T. Sheil-Small proved ([2, Corollary 5.8]) that for any complex-valued and sense-preserving injective harmonic mapping F in the unit disk D, if F(D) is a convex domain, then the inequality |G(z2)− G(z1)| < |H(z2) − H(z1)| holds for all distinct points z1, z2∈ D. Here H and G are holomorphic mappings in D determined by F = H + Ḡ, up to a constant function. We extend this inequality by replacing the unit disk by an arbitrary nonempty domain Ω in ℂ and improve it provided F...
On a Ruscheweyh type generalization of the Pascu class of analytic functions.
On a second-order nonlinear differential subordination.
On a second-order nonlinear differential subordination I.
On a special differential inequality.
On a subclass of a -uniform convex functions.