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Is the relation $$\lim_{x\rightarrow 1}\frac{Q_n^m(x)}{P_n^m(x)}=\frac{\pi}{2}\cot m\pi$$ correct? Here $P$ and $Q$ are the associated Legendre polynomials of the first ans second kind respctively. Do anybody know how to prove it or the references that I can refer?

where do you get the formula from? http://dlmf.nist.gov/14.9 might help to answer your question

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