Does anyone know how to compute the following integrals: $$ \int_{-1}^1 \frac{P_l^m(x) P_n^m(x)}{\sqrt{1 - x^2}} dx $$ and $$ \int_{-1}^1 \frac{x}{\sqrt{1-x^2}} P_l^m(x) P_n^m(x) dx $$ where $P_l^m$ is an associated Legendre polynomial? Here, $l,n,m$ are integers.
2026-03-28 08:08:07.1774685287
Integral of Associated Legendre Functions
137 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in INTEGRATION
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