Results 51 to 60 of about 85,369 (247)

On Finite Exceptional Orthogonal Polynomial Sequences Composed of Rational Darboux Transforms of Romanovski-Jacobi Polynomials

Axioms
The paper presents the united analysis of the finite exceptional orthogonal polynomial (EOP) sequences composed of rational Darboux transforms of Romanovski-Jacobi polynomials.
Gregory Natanson
doaj   +1 more source

Jacobi-weighted orthogonal polynomials on triangular domains

Journal of Applied Mathematics, 2005
We construct Jacobi-weighted orthogonal polynomials 𝒫n,r(α,β,γ)(u,v,w),α,β,γ>−1,α+β+γ=0, on the triangular domain T. We show that these polynomials 𝒫n,r(α,β,γ)(u,v,w) over the triangular domain T satisfy the following properties: 𝒫n,r(α,β,γ)(u,v,w)∈ℒn,n ...
A. Rababah, M. Alqudah
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Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations

Advances in Mathematical Physics, 2020
This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Zhiyuan Li, Meichun Wang, Yulan Wang, Jing Pang   +3 more
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Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

International Journal of Mathematics and Mathematical Sciences, 2011
We extend a collocation method for solving a nonlinear ordinary differential equation (ODE) via Jacobi polynomials. To date, researchers usually use Chebyshev or Legendre collocation method for solving problems in
Ahmad Imani, Azim Aminataei, Ali Imani
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Multi‐Slit Diffraction in Scaled Space‐Time

Natural Sciences, EarlyView.
A space‐time scaling is used to transform quantum wave packets describing free particle motion to packets moving in an effective harmonic oscillator potential that confines and directs the wave fronts along the classical phase space of the oscillator. The transformation is applied to multi‐slit diffraction and shown to characterize diffraction features
James M. Feagin
wiley   +1 more source

Landau-Kolmogorov type inequalities in several variables for the Jacobi measure [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2014
This paper is devoted to Landau-Kolmogorov type inequalities in several variables in L2 norm for Jacobi measures. These measures are chosen in such a way that the partial derivatives of the Jacobi orthogonal polynomials are also orthogonal.
Lamia Abbas, André Draux
doaj  

Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials

Discrete Dynamics in Nature and Society, 2012
We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy   +2 more
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Extended Jacobi polynomials [PDF]

International Journal of Contemporary Mathematical Sciences, 2014
In this paper, with the help of generalized hypergeometric functions of the type 4 2 F , an extension of the Jacobi polynomials is established and a number of generating functions similar to those of classical Jacobi polynomials have been proved.
openaire   +1 more source

Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2009
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional superpotential and on the ...
Christiane Quesne
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INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND

Проблемы анализа, 2019
We consider the Hermite – Pad´e approximants for the Cauchy transforms of the Jacobi weights in one interval. The denominators of the approximants are known as Jacobi – Pi˜neiro polynomials.
V. G. Lysov
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