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Ch. 14.2 Legendre Polynomial

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Program 1

Legendre Polynomial

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Mathematical Problem Formulation

Plot of Legendre polynomials
Program 2

Legendre Polynomial

Python 3.11 Ready

                                
Click "Run Code" to execute script and render figures.

Mathematical Problem Formulation

Recurrence relation of Legendre Polynomial

$$ \small (1 - x^2) P_n'(x) = (n + 1) x P_n(x) - (n + 1) P_{n+1}(x) $$