Results 11 to 20 of about 40,478 (197)
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 +7 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 +3 more
doaj +2 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
Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials [PDF]
SIAM Journal on Mathematical Analysis, 1994 Let \(\omega(x)= (1- x)^ \alpha(1+ x)^ \beta\), \(\alpha>-1\), \(\beta>- 1\), \(x\in [-1,1]\), and let \(\{p_ n(\omega,x)\}\) be the set of Jacobi polynomials which are orthogonal with respect to \(\omega(x)\) over \([- 1,1]\). With a view to determining the constant involved in the known inequality (\textit{L. Gatteschi} [SIAM J. Math. Anal.
Nevai, Paul +2 more
openaire +3 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
Exceptional Jacobi polynomials [PDF]
Journal of Approximation Theory, 2019 40 pages, 1 ...
Niels Bonneux
openaire +4 more sources
MathematicsIn 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
Beta Jacobi Ensembles and Associated Jacobi Polynomials [PDF]
Journal of Statistical Physics, 2021 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. Making use of the random matrix model, we show that in the regime where $ N \to const \in [0, \infty ...
Hoang Dung Trinh, Khanh Duy Trinh
openaire +3 more sources
Mathematics, 2021 This article deals with the general linearization problem of Jacobi polynomials. We provide two approaches for finding closed analytical forms of the linearization coefficients of these polynomials.
Waleed Mohamed Abd-Elhameed +1 more
doaj +1 more source
Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation [PDF]
Journal of Mahani Mathematical Research, 2023 This article discusses the replicating kernel interpolation collocation method related to Jacobi polynomials to solve a class of fractional system of equations. The reproducing kernel function that is executed as an (RKM) was first created in the form of
Reza Alizadeh +3 more
doaj +1 more source