Results 51 to 60 of about 13,141 (209)

Complementary Romanovski-Routh polynomials and their zeros

Trends in Computational and Applied Mathematics
The efficacy of numerical methods like integral estimates via Gaussian quadrature formulas depends on the localization of the zeros of the associated family of orthogonal polynomials.
L. L. Silva Ribeiro, A. Sri Ranga, Yen Chi Lun   +2 more
doaj   +1 more source

Ordinary Generating Functions of Binary Products of Third-Order Recurrence Relations and 2-Orthogonal Polynomials [PDF]

, 2022
Hind Merzouk, Ali Boussayoud, Abdelhamid Abderrezzak   +2 more
openalex   +1 more source

Studies on the Method of Orthogonal Collocation III. The Use of Jacobi Orthogonal Polynomials for the Solution of Boundary Value Problems

Journal of King Saud University: Engineering Sciences, 1999
Previous work identified the kind of Jocobi polynomials suitable to solve boundary value problems of the diffusion type in a slab, cylinder or sphere.
Mostafa Ali Soliman, A.A. Ibrahim
doaj   +1 more source

Orthonormal aberration decomposition for circular aperture and rectangular field with extension to multiple-aperture systems

AIP Advances
A new set of orthogonal polynomials and the traditional Zernike polynomials are combined to construct the wavefront of the sparse aperture (SA) optical system.
Baohua Chen, Quanying Wu, Junliu Fan, Songhongkang Yang, Zhixiang Li, Donghui Shen   +5 more
doaj   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]

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

Representations of the Schrödinger group and matrix orthogonal polynomials [PDF]

, 2011
Luc Vinet, Alexei Zhedanov
openalex   +1 more source

Determinantal Formulas for Exceptional Orthogonal Polynomials [PDF]

, 2022
Brian Simanek
openalex   +1 more source

Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations

Communications, 2010
In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
doaj   +1 more source

Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials. [PDF]

Entropy (Basel), 2022
Le Blanc R.
europepmc   +1 more source