Properties of some families of meromorphic -valent functions involving certain differential operator.
Properties of the mappings that are close to the harmonic mappings. II.
Properties of the Salagean operator.
Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series
Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.
Quadratic Mean Radius of a Polynomial in C(Z)
* Dedicated to the memory of Prof. N. ObreshkoffA Schoenberg conjecture connecting quadratic mean radii of a polynomial and its derivative is verified for some kinds of polynomials, including fourth degree ones.
Quadrilaterals and extremal quasiconformal extensions.
Quadruples and spatial quasiconformal mappings.
Quasicircles modulo bilipschitz maps.
We give an explicit construction of all quasicircles, modulo bilipschitz maps. More precisely, we construct a class S of planar Jordan curves, using a process similar to the construction of the van Koch snowflake curve. These snowflake-like curves are easily seen to be quasicircles. We prove that for every quasicircle Γ there is a bilipschitz homeomorphism f of the plane and a snowflake-like curve S ∈ S with Γ = f(S). In the same fashion we obtain a construction of all bilipschitz-homogeneous Jordan...
Quasiconformal Analogues of a Theorem of Smirnov.
Quasiconformal and harmonic mappings between smooth Jordan domains.
Quasiconformal circles and Lipschitz classes.
Quasiconformal Concordance.
Quasiconformal deformations of holomorphic functions.
Quasiconformal dimensions of self-similar fractals.
The Sierpinski gasket and other self-similar fractal subsets of Rd, d ≥ 2, can be mapped by quasiconformal self-maps of Rd onto sets of Hausdorff dimension arbitrarily close to one. In R2 we construct explicit mappings. In Rd, d ≥ 3, the results follow from general theorems on the equivalence of invariant sets for iterated function systems under quasisymmetric maps and global quasiconformal maps. More specifically, we present geometric conditions ensuring that (i) isomorphic systems have quasisymmetrically...
Quasiconformal equivalence of spherical CR manifolds.
Quasiconformal extensions for some geometric subclasses of univalent functions.
Quasiconformal extensions of some special univalent functions
Quasiconformal groups acting on that are not quasiconformally conjugate to Möbius groups.
Quasiconformal groups of compact type.
We establish that a quasiconformal group is of compact type if and only if its limits set is purely conical and find that the limit set of a quasiconformal group of compact type is uniformly perfect. A key tool is the result of Bowditch-Tukia on compact-type convergence groups. These results provide crucial tools for studying the deformations of quasiconformal groups and in establishing isomorphisms between such groups and conformal groups.
Quasiconformal Harmonic Functions Between Convex Domains