Legendres ODE II: Deriving a formula for Legendre Polynomials @FacultyofKhan
Legendres ODE II: Deriving a formula for Legendre Polynomials  @FacultyofKhan
Uploaded December 2016 | Updated September 2026, 2 weeks ago
This video is a continuation to my 1st video on Legendre's differential equation. Here, I derive a formula for the coefficients of the Legendre polynomials using the recursion relation found in the last video.

Questions? Ask me in the comments!

Prereqs: The first 2 videos in this playlist: youtube.com/playlist?list=PLdgVBOaXkb9ATVsK2Q84ghjBgIk5faHNc

Lecture Notes Link: drive.google.com/file/d/0B_urJu4cgDhMbmJoRE1vTG41bmM/view?usp=sharing&resourcekey=0-MbsAcsB4_iearYFfVNyLZg

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Legendres ODE II: Deriving a formula for Legendre PolynomialsComplex Integrals and Cauchys Integral Theorem.Spacetime Embedding Diagrams: Flamms Paraboloid | General RelativityThe Generalized Uncertainty Principle | Proof/DerivationThe Stirling Approximation: a 5-minute Derivation!Introduction to Thermodynamics and Statistical MechanicsIntroduction to Nonlinear DynamicsHow to analyze Systems of Linear ODEs with Eigenvalues/Eigenvectors | Nonlinear DynamicsLinear Stability Analysis | Dynamical Systems 3Complex Integration: The ML Inequality Proof and ExampleDerivation of the Euler-Lagrange Equation | Calculus of VariationsHow to find the Residues of a Complex Function
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Legendre's ODE II: Deriving a formula for Legendre Polynomials

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