Results 111 to 120 of about 155,769 (214)

Plots of Legendre Polynomials

open access: yes, 2008
Plot the Legendre polynomials, which appear in many mathematical problems, notably those involving systems with circular symmetryComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Wolfram, Stephen
core  

FUZZIFICATION OF LEGENDRE POLYNOMIALS

open access: yes, 2018
<p>In this paper, we have considered basic  Legendre polynomials obtained from Rodrigue’s formula and observed the findings if we use fuzzy intervals citing the particular case of increasing order of  the arguments and using ...
Raphel Kumar Saikia
core   +1 more source

New spectral element method for the singular perturbation problem of second order

open access: yes上海师范大学学报. 自然科学版
As the solution of singular perturbation problem of second order has a boundary layer, it is difficult to obtain ideal approximation results for traditional numerical methods.
LIU Zhipeng, TAO Dongya
doaj   +1 more source

Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained.
Luc Vinet, Alexei Zhedanov
doaj  

An Error Analysis Study for the Distributed-Order Time-Fraction Model Using an Efficient Numerical Method

open access: yesFractal and Fractional
In this paper, we propose a numerical scheme based on the shifted Legendre polynomials for solving the forced Korteweg–de Vries (fKdV) equation including a Caputo fractional operator of a distributed order. To obtain numerical solutions of these types of
Saeed Kosari   +2 more
doaj   +1 more source

Sign equidistribution of Legendre polynomials

open access: yes, 2022
We prove {\em sign equidistribution} of Legendre polynomials: the ratio between the lengths of the regions in the interval $[-1, 1]$ where the Legendre polynomial assumes positive versus negative values, converges to one as the degree grows.
de Lizaur, Francisco Torres   +1 more
core  

On the Galois Group of Legendre polynomials [PDF]

open access: yes, 2016
La presente monografía está basada en el artículo On the Galois groups of Legendre polynomials de John Cullinan y Garshid Hajir y pretende estudiar algunas propiedades algebraicas que los autores utilizan para ver cuál es el grupo de Galois de los ...
Manta Caro, Cristin Julieth
core  

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