Results 41 to 50 of about 459,426 (297)

Families of Riemann Surfaces, Uniformization and Arithmeticity [PDF]

, 2016
A consequence of the results of Bers and Griffiths on the uniformization of complex algebraic varieties is that the universal cover of a family of Riemann surfaces, with base and fibers of finite hyperbolic type, is a contractible 2-dimensional domain ...
González-Diez, Gabino, Reyes-Carocca, Sebastián   +1 more
core   +2 more sources

A fixed point theorem for analytic functions

Fixed Point Theory and Applications, 2005
We prove that each analytic self-map of the open unit disk which interpolates between certain n-tuples must have a fixed point.
Valentin Matache
doaj   +2 more sources

Spectral theory of the invariant Laplacian on the disk and the sphere – a complex analysis approach [PDF]

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2023
The central theme of this paper is the holomorphic spectral theory of the canonical Laplace operator of the complement of the “complexified unit circle” $\{(z,w) \in \widehat {{\mathbb C}}^2 \colon z \cdot w = 1\}$ .
Michael Heins, Annika Moucha, Oliver Roth   +2 more
semanticscholar   +1 more source

A criterion for p-valently starlike functions

International Journal of Mathematics and Mathematical Sciences, 1994
The object of the present paper is to prove a criterion for p-valently starlike functions in the open unit disk.
Shigeyoshi Owa, Mamoru Nunokawa, Seiichi Fukui   +2 more
doaj   +1 more source

A PTAS for the Weighted Unit Disk Cover Problem [PDF]

International Colloquium on Automata, Languages and Programming, 2015
We are given a set of weighted unit disks and a set of points in Euclidean plane. The minimum weight unit disk cover (WUDC) problem asks for a subset of disks of minimum total weight that covers all given points.
J. Li, Yifei Jin
semanticscholar   +1 more source

Some criteria for univalence of certain integral operators

International Journal of Mathematics and Mathematical Sciences, 2004
We derive some criteria for univalence of certain integral operators for analytic functions in the open unit disk.
Virgil Pescar, Shigeyoshi Owa
doaj   +1 more source

Fourth Hankel and Toeplitz determinant estimates for certain analytic functions associated with Four Leaf function

Extracta Mathematicae
The objective of this paper is to establish initial coefficient inequalities, Upper bounds to the Hankel and Toeplitz determinants for certain normalized univalent functions defined on the open unit disk D in the complex plane related to the analytic ...
R. Rudrani, R. Bharavi Sharma, S. Sambasiva Rao   +2 more
doaj   +1 more source

Displacement energy of unit disk cotangent bundles

, 2013
We give an upper bound of a Hamiltonian displacement energy of a unit disk cotangent bundle $D^*M$ in a cotangent bundle $T^*M$, when the base manifold $M$ is an open Riemannian manifold.
C Viterbo, D Hermann, F Laundenbach, H Hofer, H Hofer, J Munkres, K Cieliebak, K Irie, K Mohnke, Kei Irie, L Guth, M Berg De, R Rotman, V Benci   +13 more
core   +1 more source

A new Steiner symmetrization defined by a subclass of analytic function in a complex domain

Frontiers in Applied Mathematics and Statistics
In this effort, we present a new definition of the Steiner symmetrization by using special analytic functions in a complex domain (the open unit disk) with respect to the origin.
Ibtehal Alazman, Rabha W. Ibrahim
doaj   +1 more source

Toeplitz operators on Bergman spaces of polyanalytic functions

, 2010
We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols.
Cuckovic, Zeljko, Le, Trieu
core   +1 more source