Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures.
Fine topology and -harmonic morphisms.
Finite distortion functions and Douglas-Dirichlet functionals
In this paper, we estimate the Douglas-Dirichlet functionals of harmonic mappings, namely Euclidean harmonic mapping and flat harmonic mapping, by using the extremal dilatation of finite distortion functions with given boundary value on the unit circle. In addition, -Dirichlet functionals of harmonic mappings are also investigated.
Finite-infinite-range inequalities in the complex plane.
First order nonlinear differential superordination.
Fixed points of composite entire and quasiregular maps.
Flows of Mellin transforms with periodic integrator
We study Mellin transforms for which is periodic with period in order to investigate ‘flows’ of such functions to Riemann’s and the possibility of proving the Riemann Hypothesis with such an approach. We show that, excepting the trivial case where , the supremum of the real parts of the zeros of any such function is at least .We investigate a particular flow of such functions which converges locally uniformly to as , and show that they exhibit features similar to . For example, ...
Fonctions algébriques de Grunsky-Shah
Fonctions algébriques et variations analytiques des fonctions univalentes [Book]
Forma de estrella y convexidad de funciones multivaluadas involucradas en ciertas desigualdades.
In the present paper, a theorem for the starlikeness and convexity of multivalent functions involving certain inequalities is given. Some interesting consequences of the main result are also mentioned.
Formules de Jensen en plusieurs variables et applications arithmétiques
Fractalidad extrema e indeterminación clásica en sistemas dinámicos.
Fractional calculus and -valently starlike functions.
Fractional calculus and some properties of Sălăgean-type -starlike functions with negative coefficients.
Fredholm spectrum and Grunsky inequalities in general domains
Fully starlike and fully convex harmonic mappings of order α
The hereditary properties of convexity and starlikeness for conformal mappings do not generalize to univalent harmonic mappings. This failure leads to the notions of fully starlike and fully convex mappings. In this paper, properties of fully starlike mappings of order α and fully convex mappings of order α (0 ≤ α < 1) are studied; in particular, the bounds for the radius of full starlikeness of order α as well as the radius of full convexity of order α are determined for certain families of...
Funciones asociadas a un conjunto del plano complejo.
Function theory for a Beltrami algebra.
Functional identities for special functions of quasiconformal theory.
Functions of Bounded mean Oscillation and Quasiconformal Mappings