Hypergeometric functions

Legendre function

In physical science and mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions Pμλ, Qμλ, and Legendre functions of the second kind, Qn, are all solutions of Legendre's differential equation. The Legendre polynomials and the associated Legendre polynomials are also solutions of the differential equation in special cases, which, by virtue of being polynomials, have a large number of additional properties, mathematical structure, and applications. For these polynomial solutions, see the separate Wikipedia articles. (Wikipedia).

Legendre function
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Sigmoid functions for population growth and A.I.

Some elaborations on sigmoid functions. https://en.wikipedia.org/wiki/Sigmoid_function https://www.learnopencv.com/understanding-activation-functions-in-deep-learning/ If you have any questions of want to contribute to code or videos, feel free to write me a message on youtube or get my co

From playlist Analysis

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(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

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Functions of equations - IS IT A FUNCTION

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Linier Function with Geogebra

This Video will explain to draw linier function by geogebra.

From playlist CALCULUS

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Lesson: Inverse Functions

Define an inverse function. Determine if a function as an inverse function. Determine inverse functions.

From playlist Determining Inverse Functions

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[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

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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

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Legendre Polynomials

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

From playlist Mathematical Physics II Uploads

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Legendre Series Example

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

From playlist Mathematical Physics II Uploads

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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

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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

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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

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Introduction to Spherical Harmonics

Using separation of variables in spherical coordinates, we arrive at spherical harmonics.

From playlist Quantum Mechanics Uploads

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Completeness and Orthogonality

A discussion of the properties of Completeness and Orthogonality of special functions, such as Legendre Polynomials and Bessel functions.

From playlist Mathematical Physics II Uploads

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Determine if the equation represents a function

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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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)

Related pages

Legendre polynomials | Hypergeometric function | Zonal spherical function | Gamma function | Ferrers function | Homogeneous space | Whipple formulae | Singularity (mathematics) | Associated Legendre polynomials