Limits of Zeros of Orthogonal Polynomials on the Circle [PDF]
We prove that there is a universal measure on the unit circle such that any probability measure on the unit disk is the limit distribution of some subsequence of the corresponding orthogonal polynomials.
Simon, Barry, Totik, Vilmos
core +4 more sources
Geometric, kinematic and dynamic parameters of the disc ripper
Introduction. The unit of continuous action for the formation of the underlying layer is designed to increase labour productivity in the construction of roads and other objects, for the construction of which it is necessary to remove the upper layer of ...
V. A. Nikolayev
doaj +1 more source
Differential subordination, superordination results associated with Pascal distribution
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
Study on performance of thrust disk as auxiliary impeller
Thrust disk as auxiliary impeller has a vital effect on the big power pump unit with wet motor. It can balance the axial force of the unit, provide power for internal cooling circulation circuit of motor, and further reduce the axial length of the unit ...
Yuxing Bai +6 more
doaj +1 more source
Cervical Spinous Process and Its Attached Muscles Maintain Lower Disk Lordosis: A Retrospective Study of 155 Patients Who Underwent Muscle-Preserving Double Laminectomies [PDF]
Study Design A retrospective study conducted at a single academic institution. Purpose This study compared the postoperative alignment of consecutive double laminectomies according to their decompression levels and investigated the influence of the ...
Ryoma Aoyama +7 more
doaj +1 more source
Approximate solutions for fractional differential equation in the unit disk
In this paper we establish the existence solution approximately for differential equation of fractional order takes the form \[z^{\alpha} D[ D^{\alpha} u(z)] +(b-z)u'(z)-a u(z)=0, \quad a \neq 0, |b|< 1, 0 < \alpha < 1,\] subject to the initial ...
Rabha W. Ibrahim
doaj +1 more source
Covariant integral quantization of the unit disk [PDF]
We implement a SU(1,1) covariant integral quantization of functions or distributions on the unit disk. The latter can be viewed as the phase space for the motion of a test "massive" particle on 1+1 Anti de Sitter space-time, and the relevant unitary ...
M. Olmo, J. Gazeau
semanticscholar +1 more source
EPTAS and Subexponential Algorithm for Maximum Clique on Disk and Unit Ball Graphs [PDF]
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 MAXIMUM CLIQUE on unit disk graphs [Clark, Colbourn, Johnson; Discrete Mathematics ’90]. Since
Marthe Bonamy +8 more
semanticscholar +1 more source
New separated polynomial solutions to the Zernike system on the unit disk and interbasis expansion. [PDF]
The differential equation proposed by Frits Zernike to obtain a basis of polynomial orthogonal solutions on the unit disk to classify wavefront aberrations in circular pupils is shown to have a set of new orthonormal solution bases involving Legendre and
G. Pogosyan, K. Wolf, A. Yakhno
semanticscholar +1 more source
Line Transversals to Unit Disks [PDF]
Remember that a line transversal to a family of compact convex sets of Euclidean space is a straight line which intersects every set of this family. The author proves that if \(\mathcal F\) is a finite family of disjoint unit disks in the plane such that every three of those disks have a line transversal, then there exists a line which intersects all ...
openaire +1 more source

