Harmonic close-to-convex mappings.
Harmonic functions starlike of the complex order
Harmonic mappings in the exterior of the unit disk
In this paper we consider a class of univalent orientation-preserving harmonic functions defined on the exterior of the unit disk which satisfy the condition [...] . We are interested in finding radius of univalence and convexity for such class and we find extremal functions. Convolution, convex combination, and explicit quasiconformal extension for this class are also determined.
Harmonic mappings onto parallel slit domains
We consider typically real harmonic univalent functions in the unit disk 𝔻 whose range is the complex plane slit along infinite intervals on each of the lines x ± ib, b > 0. They are obtained via the shear construction of conformal mappings of 𝔻 onto the plane without two or four half-lines symmetric with respect to the real axis.
Harmonic maps from surfaces to certain Kaehler manifolds.
Harmonic parametrization of geodesic quadrangles on surfaces of constant curvature and 2-D quasi-isometric grids.
Harmonic starlike functions of complex order involving hypergeometric functions
Harmonic univalent functions defined by an integral operator.
Hausdorff dimension and quasisymmetric mappings.
Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map.
Hausdorff measure of the singular set of quasiregular maps on Carnot groups.
Hebbare Singularitäten quasikonformer Abbildungen und lokal beschränkter holomorpher Funktionen.
Heights of powers of Newman and Littlewood polynomials
Hencky-Prandtl nets and constant principal strain mappings with isolated singularities.
Hénon mappings in the complex domain I : the global topology of dynamical space
Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions
In this paper, we have determined the sharp lower and upper bounds on the fourth-order Hermitian-Toeplitz determinant for starlike functions with real coefficients. We also obtained the sharp bounds on the Hermitian-Toeplitz determinants of inverse and logarithmic coefficients for starlike functions with complex coefficients. Sharp bounds on the modulus of differences and difference of moduli of logarithmic and inverse coefficients are obtained. In our investigation, it has been found that the bound...
Higher order Euler-like methods.
Higher order Schwarzian derivatives in interval dynamics
We introduce an infinite sequence of higher order Schwarzian derivatives closely related to the theory of monotone matrix functions. We generalize the classical Koebe lemma to maps with positive Schwarzian derivatives up to some order, obtaining control over derivatives of high order. For a large class of multimodal interval maps we show that all inverse branches of first return maps to sufficiently small neighbourhoods of critical values have their higher order Schwarzian derivatives positive up...
Higher Schwarzian operators and combinatorics of the Schwarzian derivative.
Hilbert-Smith Conjecture for K - Quasiconformal Groups
MSC 2010: 30C60A more general version of Hilbert's fifth problem, called the Hilbert-Smith conjecture, asserts that among all locally compact topological groups only Lie groups can act effectively on finite-dimensional manifolds. We give a solution of the Hilbert-Smith Conjecture for K - quasiconformal groups acting on domains in the extended n - dimensional Euclidean space.