Rodriques formulae

Combining these results leads to the Rodriques formula for Legendre polynomials ... [Pg.49]

Substitution into the Rodriques formula gives the associated Legendre functions in the form... [Pg.50]

To normalize a function such as P m(cos0) it is necessary to equate the integral / [P,m( cos 9)]2dx = 1. Starting from the Rodriques formula and integrating by parts it can be shown that the normalized associated Legendre functions are ... [Pg.51]

From its Rodriques formula the next Laguerre polynomial is... [Pg.51]

Rodriques formula is useful to generate Legendre s polynomials for positive integers n... [Pg.144]

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