Applications · Expanding an inverse distance potential · In multipole expansions · In trigonometry · In recurrent neural networks.

We construct Legendre polynomials and apply them to solve Dirichlet problems in spherical coordinates. 1. Legendre equation: series solutions. The Legendre ...

For example, Legendre and Associate Legendre polynomials are widely used in the determination of wave functions of electrons in the orbits of an atom [3], [4] ...

13 авг. 2020 г. · Legendre polynomials are also useful in expanding functions of the form (this is the same as before, written a little differently):

25 дек. 2013 г. · These functions are widely used in physics to describe various phenomena, such as electromagnetic waves, quantum mechanics, and fluid dynamics. What is Legendre function and it's application in physics? - Quora Is there any real life application for Legendre's equation? - Quora What are Legendre polynomials, and why are they used so often? What are the applications of the Legendre differential equation? Другие результаты с сайта www.quora.com

22 янв. 2022 г. · Series solutions based on Legendre polynomials are constructed for different cases of heat- and mass-transfer analysis of fluid flow in a porous ...

Application areas for the Legendre polynomials include the solutions of the Schrodinger equation for the hydrogen atom and other quantum systems with spherical ...

1 авг. 2012 г. · One of the greatest applications not only of the Legendre polynomials, but of orthogonal polynomials in general, is Quantum Mechanics.

The Legendre polynomials, sometimes called Legendre functions ... Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential ...

Among these, Legendre polynomials have an extensive usage area, particularly in physics & engineering. For example, Legendre and associate Legendre polynomials ...