Differentiation of Rodrigues' formula

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Iam trying to differentiate Rodrigues' formula m times with respect to x.  Rodrigues' formula

to attain the form

Any help ?

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The polynomials $P_l^m$ are the associated Legendre polynomials, whereas $P_l$ are Legendre polynomials. The formula you gave are their definitions. $P_l^m$ is defined as in the formula, these polynomials are not the m-th derivatives (or powers or whatever) of $P_l$.