Results 1 to 10 of about 538,632 (288)

On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2011
A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
doaj   +22 more sources

Representation of ( p , q ) $(p,q)$ -Bernstein polynomials in terms of ( p , q ) $(p,q)$ -Jacobi polynomials [PDF]

Journal of Inequalities and Applications, 2017
A representation of ( p , q ) $(p,q)$ -Bernstein polynomials in terms of ( p , q ) $(p,q)$ -Jacobi polynomials is obtained.
F Soleyman, I Area, M Masjed-Jamei, JJ Nieto   +3 more
doaj   +4 more sources

Exceptional Jacobi polynomials which are deformations of Jacobi polynomials

Journal of Mathematical Analysis and Applications, 2023
Exceptional polynomials are complete orthogonal polynomial systems with respect to a positive measure in the real line which in addition are eigenfunctions of a second order differential operator. The most apparent difference between classical orthogonal polynomials and their exceptional counterparts is that the exceptional families have gaps in their ...
A. J. Durán
semanticscholar   +3 more sources

Beta Jacobi Ensembles and Associated Jacobi Polynomials [PDF]

Journal of Statistical Physics, 2020
Beta ensembles on the real line with three classical weights (Gaussian, Laguerre and Jacobi) are now realized as the eigenvalues of certain tridiagonal random matrices. The paper deals with beta Jacobi ensembles, the type with the Jacobi weight.
Hoang Dung Trinh, Khanh Duy Trinh
semanticscholar   +4 more sources

Exceptional Jacobi polynomials [PDF]

Journal of Approximation Theory, 2018
40 pages, 1 ...
Niels Bonneux
semanticscholar   +4 more sources

New Formulae for the High-Order Derivatives of Some Jacobi Polynomials: An Application to Some High-Order Boundary Value Problems [PDF]

The Scientific World Journal, 2014
This paper is concerned with deriving some new formulae expressing explicitly the high-order derivatives of Jacobi polynomials whose parameters difference is one or two of any degree and of any order in terms of their corresponding Jacobi polynomials ...
W. M. Abd-Elhameed
doaj   +2 more sources

Symmetry algebra for the generic superintegrable system on the sphere

Journal of High Energy Physics, 2018
The goal of the present paper is to provide a detailed study of irreducible representations of the algebra generated by the symmetries of the generic quantum superintegrable system on the d-sphere.
Plamen Iliev
doaj   +3 more sources

On Polar Jacobi Polynomials

Mathematics
In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.
Roberto S. Costas-Santos
doaj   +3 more sources

A numerical method based on the shifted Jacobi polynomials for a class of tempered fractional quadratic integro-differential equations

Results in Applied Mathematics
This paper introduces a new class of tempered fractional quadratic integro-differential equations using the Caputo fractional derivative. The existence and uniqueness of solutions to these equations are analyzed.
P. Senfiazad, M.H. Heydari, M. Bayram, D. Baleanu   +3 more
doaj   +2 more sources

Jacobi polynomials and design theory I [PDF]

Discrete Mathematics, 2022
In this paper, we introduce the notion of Jacobi polynomials with multiple reference vectors of a code, and give the MacWilliams type identity for it. Moreover, we derive a formula to obtain the Jacobi polynomials using the Aronhold polarization operator.
H. Chakraborty, T. Miezaki, M. Oura, Yuuho Tanaka   +3 more
semanticscholar   +1 more source