Generalized alpha-close-to-convex functions.
Generalized classes of starlike and convex functions of order .
Generalized condensers and conformal properties of riemannian manifolds with at least two ends
Generalized dimension compression under mappings of exponentially integrable distortion
We prove a dimension compression estimate for homeomorphic mappings of exponentially integrable distortion via a modulus of continuity result by D. Herron and P. Koskela [Mappings of finite distortion: gauge dimension of generalized quasicircles, Illinois J. Math., 2003, 47(4), 1243–1259]. The essential sharpness of our estimate is demonstrated by an example.
Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.
Generalized Fredholm eigenvalues of a Jordan curve
Generalized function fractional integration operators in some classes of analytic functions
Generalized integral operator and multivalent functions.
Generalized John disks
We establish the basic properties of the class of generalized simply connected John domains.
Generalized mean porosity and dimension.
Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions
∗ Partially supported by grant No. 433/94 NSF of the Ministry of Education and Science of the Republic of Bulgaria 1991 Mathematics Subject Classification:30C45We consider functions of the type, j=1 ... n, F(z) = z^p ∏ [ fj (z)/(z^p) ] ^αj where fj are p-valent functions starlike of order αj and aj are complex numbers. The problem we solve is to find conditions for the centre and the radius of the disc {z : |z − ω| < r}, contained in the unit disc {z : |z| < 1} and containing the origin,...
Generalized problem of starlikeness for products of close-to-star functions
We consider functions of the type , where are real numbers and are -strongly close-to-starlike functions of order . We look for conditions on the center and radius of the disk (a,r) = z:|z-a| < r, |a| < r ≤ 1 - |a|, ensuring that F((a,r)) is a domain starlike with respect to the origin.
Geometric and approximation properties of some singular integrals in the unit disk.
Geometric characterization for affine mappings and Teichmüller mappings
We characterize affine mappings on the unit disk and on rectangles by module conditions. The main result generalizes the classic Schwarz lemma. As an application, we give a sufficient condition for a K-quasiconformal mapping on a Riemann surface to be a Teichmüller mapping.
Geometric characterization for homeomorphisms between disks
We give some characterizations for certain homeomorphisms between disks in the complex plane, and we prove some Schwarz type theorems for such homeomorphisms. Our results replace the main result of Chen [Studia Math. 157 (2003)] which we show to be false.
Geometric properties of solutions to the anisotropic -Laplace equation in dimension two.
Geometric properties of Wright function
In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investigated.
Geometric rigidity of conformal matrices
We provide a geometric rigidity estimate à la Friesecke-James-Müller for conformal matrices. Namely, we replace by an arbitrary compact set of conformal matrices, bounded away from and invariant under , and rigid motions by Möbius transformations.
Geometrical properties of a family of compactifications.
Géométrie des polynômes. Coût global moyen de la méthode de Newton