Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 25

Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 25

Published $\text {1968}$

$25 \quad$ Legendre Functions

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Legendre's Differential Equation

Legendre Polynomials

Special Legendre Polynomials

Legendre Polynomials in terms of $\theta$ where $x = \cos \theta$

Generating Function for Legendre Polynomials

Recurrence Formulas for Legendre Polynomials

Orthogonality of Legendre Polynomials

Orthogonal Series of Legendre Polynomials

Special Results involving Legendre Polynomials

General Solution of Legendre's Equation

Legendre Functions of the Second Kind

Special Legendre Functions of the Second Kind

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