On conformal representations of the interior of an ellipse.
On consequences of certain boundary conditions on the unit circle
On Convergence and Quasiregularity of Interpolating Complex Planar Splines.
On convergence of Börsch-Supan's method with Weierstrass' corrections.
On conversion of the L'Hopital rule for analytic functions.
On convex functions of order and type .
On convex univalent functions
On convex univalent functions - II
On convex univalent functions. II.
On definitions of the pluricomplex Green function
We give several definitions of the pluricomplex Green function and show their equivalence.
On differential sandwich theorems for some subclass of multivalent analytic functions.
On differential sandwich theorems of analytic functions defined by certain linear operator
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.
On differential subordinations for a class of analytic functions defined by a linear operator.
On differential subordinations of multivalent functions involving a certain fractional derivative operator.
On discrepancy theorems with applications to approximation theory
We give an overview on discrepancy theorems based on bounds of the logarithmic potential of signed measures. The results generalize well-known results of P. Erdős and P. Turán on the distribution of zeros of polynomials. Besides of new estimates for the zeros of orthogonal polynomials, we give further applications to approximation theory concerning the distribution of Fekete points, extreme points and zeros of polynomials of best uniform approximation.
On Dittmar's approach to the Beltrami equation
We recall an old result of B. Dittmar. This result permits us to obtain an existence theorem for the Beltrami equation and some other results as a direct consequence of Moser's classical estimates for elliptic operators.
On Dyakonov type theorems for harmonic quasiregular mappings
We prove two Dyakonov type theorems which relate the modulus of continuity of a function on the unit disc with the modulus of continuity of its absolute value. The methods we use are quite elementary, they cover the case of functions which are quasiregular and harmonic, briefly hqr, in the unit disc.
On entire functions which transform straight lines into parabolas
On estimates of functionals in some classes of functions with positive real part
On estimating a fifth order functional for bounded univalent functions