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 holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering.
On hyper f-structures.
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 influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus.
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 interpolation and sampling in Hilbert spaces of analytic functions.
On isomorphisms of Bers fiber spaces.
On isomorphisms of geometrically finite Möbius groups
On iterations of Misiurewicz's rational maps on the Riemann sphere
On -symmetrical functions
n the present paper the authors study some families of functions from a complex linear space into a complex linear space . They introduce the notion of -symmetrical function (; ) which is a generalization of the notions of even, odd and -symmetrical functions. They generalize the well know result that each function defined on a symmetrical subset of can be uniquely represented as the sum of an even function and an odd function.
On Janowski starlike functions.