On H. Weyl and H. Minkowski polynomials.
On harmonic functions constructed by the Hadamard product.
On harmonic functions defined by derivative operator.
On harmonic quasiconformal quasi-isometries.
On harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator.
On Hölder regularity for elliptic equations of non-divergence type in the plane
This paper is concerned with strong solutions of uniformly elliptic equations of non-divergence type in the plane. First, we use the notion of quasiregular gradient mappings to improve Morrey’s theorem on the Hölder continuity of gradients of solutions. Then we show that the Gilbarg-Serrin equation does not produce the optimal Hölder exponent in the considered class of equations. Finally, we propose a conjecture for the best possible exponent and prove it under an additional restriction.
On holomorphic functions with certain extremal properties of its absolute values.
On hyperbolically convex conformal mappings.
On Ilieff's Conjecture.
On inclusion relationships of certain subclasses of meromorphic functions involving integral operator
In this paper, we introduce some subclasses of meromorphic functions in the punctured unit disc. Several inclusion relationships and some other interesting properties of these classes are discussed.
On Integral Means for Fractional Calculus Operators of Multivalent Functions
2000 Mathematics Subject Classification: Primary 30C45, Secondary 26A33, 30C80Integral means inequalities are obtained for the fractional derivatives and the fractional integrals of multivalent functions. Relevant connections with various known integral means inequalities are also pointed out.
On integral operator defined by convolution involving hybergeometric functions.
On isomorphisms of geometrically finite Möbius groups
On Janowski starlike functions.
On Komatu's conjectures for certain linear operator
On Lipschitz continuity of harmonic quasiregular maps on the unit ball in .
On local injectivity and asymptotic linearity of quasiregular mappings
It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at implies the local injectivity and the asymptotic linearity of f at . Sufficient conditions for to behave asymptotically as are given. Some global injectivity results are derived.
On locally biholomorphic mappings from multi-connected onto simply connected domains
We continue E. Ligocka's investigations concerning the existence of m-valent locally biholomorphic mappings from multi-connected onto simply connected domains. We decrease the constant m, and also give the minimum of m in the case of mappings from a wide class of domains onto the complex plane ℂ.
On locally biholomorphic surjective mappings
We prove that each open Riemann surface can be locally biholomorphically (locally univalently) mapped onto the whole complex plane. We also study finite-to-one locally biholomorphic mappings onto the unit disc. Finally, we investigate surjective biholomorphic mappings from Cartesian products of domains.
On mappings with bounded distortion on Heisenberg group.