Results 11 to 20 of about 686,674 (292)
Displacement energy of unit disk cotangent bundles [PDF]
, 2011 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. Our main result is that the displacement energy is not greater than $C r(M)$, where $r(M)$ is the inner radius of $M$, and $C$ is a dimensional constant.
C Viterbo +13 more
arxiv +3 more sources
On a new linear operator formulated by Airy functions in the open unit disk [PDF]
Advances in Difference Equations, 2021 In this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination concepts. The new operator is
Rabha W. Ibrahim, Dumitru Baleanu
doaj +3 more sources
Examining the behavior of parametric convex operators on a certain set of analytical functions [PDF]
MethodsXMathematical operators that maintain convex functional combinations involving at least one parameter are called parametric convex operators (PCOs) on analytic function spaces.
Ibtisam Aldawish
doaj +2 more sources
Computers & Mathematics with Applications, 1999 AbstractWe present a new and versatile method for the exact computation of the number of zeros of a real polynomial inside the unit disk. Our technique is based on a determinant representation.
M. Moflih, B. Gleyse
openaire +3 more sources
Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk [PDF]
arXiv, 2012 Michael Handel proved in Handel (1999) the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity. More recently, the author generalized Handel's theorem to a wider class of cycles of links (
arxiv +5 more sources
QPTAS and Subexponential Algorithm for Maximum Clique on Disk Graphs [PDF]
arXiv, 2017 A (unit) disk graph is the intersection graph of closed (unit) disks in the plane. Almost three decades ago, an elegant polynomial-time algorithm was found for \textsc{Maximum Clique} on unit disk graphs [Clark, Colbourn, Johnson; Discrete Mathematics '90].
Édouard Bonnet +4 more
arxiv +2 more sources
Fast Disk Conformal Parameterization of Simply-Connected Open Surfaces
Journal of Scientific Computing, 2014 Surface parameterizations have been widely used in computer graphics and geometry processing. In particular, as simply-connected open surfaces are conformally equivalent to the unit disk, it is desirable to compute the disk conformal parameterizations of
Pui Tung Choi, L. Lui
semanticscholar +3 more sources
Differential subordination, superordination results associated with Pascal distribution
AIMS Mathematics, 2023 This paper aims to study differential subordination and superordination preserving properties for certain analytic univalent functions with in the open unit disk.
K. Saritha, K. Thilagavathi
doaj +1 more source
New classes of spaceable sets of analytic functions on the open unit disk
Colloquium Mathematicum, 2022 In this paper we study an algebraic and topological structure inside the following sets of special functions: Bloch functions defined on the open unit disk that are unbounded and analytic functions of bounded type defined a Banach algebra E into E, which are not Lorch-analytic.
Lourenço, M. Lilian, Vieira, Daniela M.
openaire +2 more sources
On the characterization properties of certain hypergeometric functions in the open unit disk
Journal of Inequalities and Applications, 2022 AbstractOur purpose in the present investigation is to study certain geometric properties such as the close-to-convexity, convexity, and starlikeness of the hypergeometric function $z{}_{1}F_{2}(a;b,c;z)$ z 1 F
Deepak Bansal +3 more
openaire +2 more sources