On The Convex Sum Of Certain Univalent Functions And The Identity Function.
On the convolution of analytic functions.
On the Correspondence Principle for the Quantized Annulus.
On the decomposition of a class of plane quasiconformal mappings.
On the definition of a close-to-convex function.
On the derivative and maximum modulus of a polynomial.
On the derivative of hyperbolically convex functions.
On the Derivative of the Riemann Mapping Function Near a Boundary Point and the Visser-Ostrowski Problem.
On The Difference Of The Number Of Zeros And Poles Of The Members Of Convergent Sequences Of Meromorphic Functions
On the Distribution of Tsuji Points.
On the distribution of zeros of exponential polynomials
On the dynamics of pseudo-Anosov homeomorphisms on representation varieties of surface groups.
On the dynamics of rational maps
On the estimate of the fourth-order homogeneous coefficient functional for univalent functions
The functional |c₄ + pc₂c₃ + qc³₂| is considered in the class of all univalent holomorphic functions in the unit disk. For real values p and q in some regions of the (p,q)-plane the estimates of this functional are obtained by the area method for univalent functions. Some new regions are found where the Koebe function is extremal.
On the existence of extremal Teichmüller mappings.
On the existence of Jenkins-Strebel differentials using harmonic maps from surfaces to graphs.
On the extendability of quadratic polynomial mappings of the plane
We shall prove, using the result from our previous paper [Ann. Polon. Math. 88 (2006)], that for a quadratic polynomial mapping Q of ℝ² only the geometric shape of the critical set of Q determines whether the complexification of Q can be extended to an endomorphism of ℂℙ². At the end of the paper we describe some interesting classes of quadratic polynomial mappings of ℝ² and give some examples.
On the Extreme Points of a Subclass of Holomorphic Functions with Positive Real Part.
On the extreme points of some classes of holomorphic functions.
On the extreme points of subordination families
We investigate extreme points of some classes of analytic functions defined by subordination and classes of functions with varying argument of coefficients. By using extreme point theory we obtain coefficient estimates and distortion theorems in these classes of functions. Some integral mean inequalities are also pointed out.