How can I calculate the integral of associate LegendreP(1,n,theta)*cos(theta)^2 ?

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Shreen El-Sapa 2024-5-6

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评论： Shreen El-Sapa 2024-5-7

采纳的回答： David Goodmanson

How can I calculate the integral of associate Legendre function P(1,n,theta)*cos(theta)^2 ?

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Answer 1

David Goodmanson 2024-5-7

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Hello Se,

First of all I think you probably mean the integral of

P(1,n,cos(theta))*cos(theta)^2

which is what makes sense when trig functions come into it. This issue has caused a lot of back and forth on your other posted question. Also, this integrand would usually be multiplied by sin(theta) since sin(theta)* dtheta is part of the volume element in spherical coordinates. Are you looking for this integral from ) 0 to pi?