Associated Legendre functions

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Revision as of 12:58, 20 June 2008 by Dduque (talk | contribs) (New page: The '''associated Legendre functions''' <math>P^m_n(x)</math> are most conveniently defined in terms of derivatives of the Legendre polynomials: <math> P^m_n(x)= (1-x^2)^{m/2} \frac{d...)

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The associated Legendre functions $P_{n}^{m}(x)$ are most conveniently defined in terms of derivatives of the Legendre polynomials:

$P_{n}^{m}(x)=(1-x^{2})^{m/2}{\frac {d^{m}}{dx^{m}}}P_{n}(x)$

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Mathematics