Easy question about associated legendre functions

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The discussion revolves around the challenges faced by a user seeking assistance with associated Legendre functions for a homework assignment. The user expresses frustration after hours of attempting to solve the problem without success. Participants in the forum encourage sharing specific approaches or partial results to facilitate constructive feedback and guidance.

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i've trying for hours, can anyone help me (tell me if this is not the right place to post this question)
 

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Homework?

What has your approach been?

Any thought/results (even if incomplete)?
 

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