Results 111 to 120 of about 351,291 (192)

New fractional-order shifted Gegenbauer moments for image analysis and recognition

Journal of Advanced Research, 2020
Orthogonal moments are used to represent digital images with minimum redundancy. Orthogonal moments with fractional-orders show better capabilities in digital image analysis than integer-order moments.
Khalid M. Hosny, Mohamed M. Darwish, Mohamed Meselhy Eltoukhy   +2 more
doaj  

Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle [PDF]

arXiv, 2002
It is shown that monic orthogonal polynomials on the unit circle are the characteristic polynomials of certain five-diagonal matrices depending on the Schur parameters. This result is achieved through the study of orthogonal Laurent polynomials on the unit circle.
arxiv  

Dual equations and classical orthogonal polynomials

Journal of Mathematical Analysis and Applications, 1968
Abstract : Dual integral equations involving Bessel functions and dual series equations involving Jacobi polynomials occur in several branches of applied mathematics and large classes of these equations can now be solved. We show how many dual sequence equations involving Jacobi and Laguerre polynomials can be solved by similar methods. (Author)
openaire   +2 more sources

Orthogonal Basic Hypergeometric Laurent Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2012
The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a ...
Mourad E.H. Ismail, Dennis Stanton
doaj   +1 more source

An note on the maximization of matrix valued Hankel determinants with application [PDF]

In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional ...
Dette, Holger, Studden, W. J.
core  

On classical orthogonal polynomials on bi-lattices

Analysis and Mathematical Physics
In [J. Phys. A: Math. Theor. 45 (2012)], while looking for spin chains that admit perfect state transfer, Vinet and Zhedanov found an apparently new sequence of orthogonal polynomials, that they called para-Krawtchouk polynomials, defined on a bilinear lattice.
Castillo, K., Filipuk, G., Mbouna, D.
openaire   +2 more sources

Protecting Medical Images Using a Zero-Watermarking Approach Based on Fractional Racah Moments

IEEE Access
This article introduces a new family of orthogonal moments, the fractional Racah moments (FrROMs), developed to meet the demands of copyright protection for medical images, a field requiring robust and secure methods that preserve the integrity of the ...
Karim El-Khanchouli, Hanaa Mansouri, Nawal El Ghouate, Hicham Karmouni, Nour-Eddine Joudar, Mhamed Sayyouri, S. S. Askar, Mohamed Abouhawwash   +7 more
doaj   +1 more source

Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]

Entropy (Basel), 2023
Min C, Wang L.
europepmc   +1 more source

Discrete Entropies of Chebyshev Polynomials

Mathematics
Because of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics, as
Răzvan-Cornel Sfetcu, Sorina-Cezarina Sfetcu, Vasile Preda   +2 more
doaj   +1 more source

On the spectrum of tridiagonal matrices with two-periodic main diagonal

Special Matrices
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
doaj   +1 more source