Question: Derive P3 (x) from the Rodrigues formula, and check that P3 (cos ) satisfies the angular equation (3.60) for l = 3. Check that P3

Derive P3 (x) from the Rodrigues formula, and check that P3 (cos θ) satisfies the angular equation (3.60) for l = 3. Check that P3 and P1 are orthogonal by explicit integration.

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