Results 31 to 40 of about 686,674 (292)
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
Construction of Planar Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2007 Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f=h+g¯, where h and g are analytic in the open unit disk.
Jay M. Jahangiri +2 more
doaj +1 more source
Estimate for Initial MacLaurin Coefficients of Certain Subclasses of Bi-univalent Functions [PDF]
, 2015 In this paper, estimates for second and third MacLaurin coefficients of certain subclasses of bi-univalent functions in the open unit disk defined by convolution are determined, and certain special cases are also indicated.
Alkahtani, Badr +2 more
core +2 more sources
An efficient numerical method for computation of the number of complex zeros of real polynomials inside the open unit disk [PDF]
Journal of the Association of Arab Universities for Basic and Applied Sciences, 2016 AbstractIn this paper, a simple and efficient numerical method is proposed for computing the number of complex zeros of a real polynomial lying inside the unit disk. The proposed protocol uses the Boubaker polynomial expansion scheme (BPES) to build sequence of polynomials based on the concept of Sturm sequences.
Muhammad Mujtaba Shaikh, Karem Boubaker
openaire +2 more sources
A first-order differential double subordination with applications [PDF]
, 2011 Let $q_1$ and $q_2$ belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions $p$ to satisfy the double subordination chain $q_1(z)
Ali +20 more
core +2 more sources
Zeros and convergent subsequences of Stern polynomials [PDF]
, 2012 We investigate Dilcher and Stolarsky's polynomial analogue of the Stern diatomic sequence. Basic information is obtained concerning the distribution of their zeros in the plane.
Adamczewski +13 more
core +2 more sources
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 +2 more
doaj +1 more source
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 +1 more
core +2 more sources
A specific model of Hilbert geometry on the unit disc [PDF]
arXiv, 2023 A new metric on the open 2-dimensional unit disk is defined making it a geodesically complete metric space whose geodesic lines are precisely the Euclidean straight lines. Moreover, it is shown that the unit disk with this new metric is not isometric to any hyperbolic model of constant negative curvature, nor to any convex domain in R2 equipped with ...
arxiv
Existence and hardness of conveyor belts [PDF]
Electronic J. Combinatorics 27 (4), Paper 4.25, 2020, 2019 An open problem of Manuel Abellanas asks whether every set of disjoint closed unit disks in the plane can be connected by a conveyor belt, which means a tight simple closed curve that touches the boundary of each disk, possibly multiple times. We prove three main results.
arxiv +1 more source