Legendre polynomials

Legendre Polynomials

An introduction to Legendre Polynomials and the Legendre-Fourier Series.

From playlist Mathematical Physics II Uploads

Legendre Polynomial Series

In this video I derive three series representations for Legendre Polynomials. For more videos on this topic, visit: https://www.youtube.com/playlist?list=PL2uXHjNuf12bnpcGIOY2ZOsF-kl2Fh55F

From playlist Fourier

Intro to Legendre Polynomials

In this video I briefly introduce Legendre Polynomials via the Rodrigues formula. For more videos on this topic, visit: https://www.youtube.com/playlist?list=PL2uXHjNuf12bnpcGIOY2ZOsF-kl2Fh55F

From playlist Fourier

Legendre Series Example

An example of expanding a function in a Legendre-Fourier Series.

From playlist Mathematical Physics II Uploads

How To Use Legendre Polynomials In Python

Legendre Polynomial pop up quite a few times in your physics degree. In this video I show you how to write a python code to plot out any degree legendre polynomial!

From playlist Daily Uploads

Legendre polynomials

Constructing the Legendre polynomials, which are an orthonormal basis for the set of polynomials. Example of Gram-Schmidt to inner product spaces. Check out my Orthogonality playlist: https://www.youtube.com/watch?v=Z8ceNvUgI4Q&list=PLJb1qAQIrmmAreTtzhE6MuJhAhwYYo_a9 Subscribe to my chan

From playlist Fourier

Advice for Research Maths | Properties of Legendre and Gegenbauer polynomials | Wild Egg Maths

To try to understand how to apply two dimensional maxel magic to the family of Legendre polynomials, let's look at some properties of these polynumbers, including differential equations, connections with Chebyshev polynomials, and how they arise from the geometry of the sphere and an assoc

From playlist Maxel inverses and orthogonal polynomials (non-Members)

Theory of numbers: Jacobi symbol

This lecture is part of an online undergraduate course on the theory of numbers. We define the Jacobi symbol as an extension of the Legendre symbol, and show how to use it to calculate the Legendre symbol fast. We also briefly mention the Kronecker symbol. For the other lectures in t

From playlist Theory of numbers

Number Theory | Some properties of the Legendre symbol.

We present some properties of the Legendre symbol. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Number Theory

[Lesson 25] QED Prerequisites Scattering 2

We follow the derivation of the associated Legendre polynomials using the reference "The Functions of Mathematical Physics" by Harry Hochstadt as our guide. The goal is to take ownership of these functions so we can confidently advance our understanding of the partial wave expansion of pla

From playlist QED- Prerequisite Topics

Recent developments in knot contact homology - Lenny Ng

Princeton/IAS Symplectic Geometry Seminar Topic: Recent developments in knot contact homology Speaker: Lenny Ng, Duke University Date: December 11, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Eigenfunctions of Angular Momentum Part 2

We examine the properties of the Associated Legendre Polynomials, and package them into Spherical Harmonics as the eigenfunctions of Angular Momentum.

From playlist Quantum Mechanics Uploads

Advanced Knowledge Problem of the Week 1-12-17

Kelsey derives the first three Legendre polynomials for this week's Advanced Knowledge Problem of the Week! Solution Transcript: http://centerofmathematics.blogspot.com/2016/12/advanced-knowledge-problem-of-week-1-12.html

From playlist Center of Math: Problems of the Week

QED Prerequisites-Scattering 8-PartialWaves!

This lesson covers the amazing topic of expanding plane waves into a superposition of partial waves. To do this we will deploy the asymptotic expansion of the spherical Bessel function that we derived in previous lessons AND learn a quick and easy way to get the asymptotic expansion of cer

From playlist QED- Prerequisite Topics

Legendre Symbol Definition and Example

Intro to quadratic residues: https://youtu.be/M6gDsFhQugM The Legendre symbol is a useful notation for describing whether a number is a quadratic residue mod p. Here we explain what the Legendre symbol is and do a practice example with quadratic residues mod 5. Quadratic Residues playli

From playlist Quadratic Residues