Linear operators associated with a subclass of hypergeometric meromorphic uniformly convex functions.
Linear operators between classes of prestarlike functions.
Linearization of analytic and non-analytic germs of diffeomorphisms of
Linearly invariant families of holomorphic functions in the unit polydisc
In this paper we extend the definition of the linearly invariant family and the definition of the universal linearly invariant family to higher dimensional case. We characterize these classes and give some of their properties. We also give a relationship of these families with the Bloch space.
Linearly invariant families of holomorphic mappings of a ball. The dimension reduction method.
Linearly-invariant families and generalized Meixner–Pollaczek polynomials
The extremal functions f0(z) realizing the maxima of some functionals (e.g. max |a3|, and max arg f′(z)) within the so-called universal linearly invariant family Uα (in the sense of Pommerenke [10]) have such a form that f′0(z) looks similar to generating function for Meixner-Pollaczek (MP) polynomials [2], [8]. This fact gives motivation for the definition and study of the generalized Meixner-Pollaczek (GMP) polynomials Pλn (x; θ,ψ) of a real variable x as coefficients of [###] where the parameters...
Liouville type theorems for mappings with bounded (co)-distortion
We obtain Liouville type theorems for mappings with bounded -distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded -codistorsion.
Liouville's theorem in a pseudo-conformal space.
Lipschitz constants for a hyperbolic type metric under Möbius transformations
Let be a nonempty open set in a metric space with . Define where is the distance from to the boundary of . For every , is a metric. We study the sharp Lipschitz constants for the metric under Möbius transformations of the unit ball, the upper half space, and the punctured unit ball.
Local convexity properties of -metric balls.
Local inequalities for some functionals in the class S
Local stability of mappings with bounded distortion on Heisenberg groups.
Localisation de zéros de familles de trinômes
Localisation des zéros de polynômes par rapport au cercle unité
Locally biholomorphic mappings of multiconnected domains.
Locally isometric families of minimal surfaces.
Locally minimal sets for conformal dimension.
Locally uniform domains and quasiconformal mappings.
Location of the critical points of certain polynomials
Let D¯ denote the unit disk {z : |z| < 1} in the complex plane C. In this paper, we study a family of polynomials P with only one zero lying outside D¯. We establish criteria for P to satisfy implying that each of P and P' has exactly one critical point outside D¯.
Loewner chains and quasiconformal extension of holomorphic mappings
Let f(z,t) be a Loewner chain on the Euclidean unit ball B in ℂⁿ. Assume that f(z) = f(z,0) is quasiconformal. We give a sufficient condition for f to extend to a quasiconformal homeomorphism of onto itself.