Results 11 to 20 of about 538,632 (288)

Spectral Collocation Approach via Normalized Shifted Jacobi Polynomials for the Nonlinear Lane-Emden Equation with Fractal-Fractional Derivative

Fractal and Fractional, 2023
Herein, we adduce, analyze, and come up with spectral collocation procedures to iron out a specific class of nonlinear singular Lane–Emden (LE) equations with generalized Caputo derivatives that appear in the study of astronomical objects.
Youssri Hassan Youssri, A. G. Atta
semanticscholar   +1 more source

New Approaches to the General Linearization Problem of Jacobi Polynomials Based on Moments and Connection Formulas

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, Badah Mohamed Badah   +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, M. Jahangiri, Ali Ebadian, F. Dastmalchi   +3 more
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An algebraic treatment of the Askey biorthogonal polynomials on the unit circle

Forum of Mathematics, Sigma, 2021
A joint algebraic interpretation of the biorthogonal Askey polynomials on the unit circle and of the orthogonal Jacobi polynomials is offered. It ties their bispectral properties to an algebra called the meta-Jacobi algebra $m\mathfrak {J}$ .
Luc Vinet, Alexei Zhedanov
doaj   +1 more source

Two-dimensional limit series in ultraspherical Jacobi polynomials and their approximative properties [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
Let $C[-1,1]$ be the space of functions continuous on the segment $[-1,1]$, $C[-1,1]^2$ be the space of functions continuous on the square $[-1,1]^2$. We denote by $P_n^\alpha(x)$ the ultraspherical Jacobi polynomials.
Guseinov, Ibraghim G., Gadzhimirzaev, Ramis Makhmudovich   +1 more
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The Electrostatic Properties of Zeros of Exceptional Laguerre and Jacobi Polynomials and stable interpolation [PDF]

Journal of Approximation Theory, 2014
Á. P. Horváth
openalex   +3 more sources

On the Direct Limit from Pseudo Jacobi Polynomials to Hermite Polynomials

Mathematics, 2021
In this short communication, we present a new limit relation that reduces pseudo-Jacobi polynomials directly to Hermite polynomials. The proof of this limit relation is based upon 2F1-type hypergeometric transformation formulas, which are applicable to ...
Elchin I. Jafarov, Aygun M. Mammadova, Joris Van der Jeugt   +2 more
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Numerical Simulation for Fractional-Order Bloch Equation Arising in Nuclear Magnetic Resonance by Using the Jacobi Polynomials

Applied Sciences, 2020
In the present paper, we numerically simulate fractional-order model of the Bloch equation by using the Jacobi polynomials. It arises in chemistry, physics and nuclear magnetic resonance (NMR).
Harendra Singh, H. Srivastava
semanticscholar   +1 more source

Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials [PDF]

Journal of Physics A: Mathematical and Theoretical, 2018
In a previous paper we derived equivalence relations for pseudo-Wronskian determinants of Hermite polynomials. In this paper we obtain the analogous result for Laguerre and Jacobi polynomials.
D. Gómez‐Ullate, Y. Grandati, R. Milson   +2 more
semanticscholar   +1 more source

Integral of Legendre polynomials and its properties [PDF]

Mathematics and Computational Sciences
This paper is concerned with deriving a new system of orthogonal polynomials whose inflection points coincide with their interior roots, primitives of Legendre polynomials.
Abdelhamid Rehouma
doaj   +1 more source