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Identities and properties for associated Legendre …

Identities and properties for associated Legendre

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Combining eqns.(12) and (8) one obtains the result. The following two results are rather cheap. If we di erentiate the de ning relation (6) we obtain: dPm l (x) = mx 1 x2 Pm l (x) Pm+1 l (x) p 1 x2: (13) Now it is a simple step for the following. Multiplying (13) with (1 x2) one obtains nr. 13 of the list of recurrence relations from Wikipedia ...

  Properties, Associated, Identities, Legendre, Identities and properties for associated legendre

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