Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 26

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Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 26

Published $\text {1968}$


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$26 \quad$ Associated Legendre Functions



Legendre's Associated Differential Equation

Associated Legendre Functions of the First Kind

Special Associated Legendre Functions of the First Kind

Generating Function for $\map {P_n^m} x$

Recurrence Formulas

Orthogonality of $\map {P_n^m} x$

Orthogonal Series

Associated Legendre Functions of the Second Kind

General Solution of Legendre's Associated Equation

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