1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integrating the Gegenbauer function (1st kind) wrt theta

  1. Aug 20, 2011 #1
    1. The problem statement, all variables and given/known data

    Find ∫ In(ζ) dθ , where ζ= cosθ and In(ζ) is the gegenbauer function of the first kind.

    The original problem is to find find ∫ sinθ *I//n(ζ) dθ where I//n= 2nd differential of In(ζ) with respect to ζ.

    2. Relevant equations

    d/dζ In(ζ)=-Pn-1(ζ), where Pn(ζ) is the legendre function of the first kind.

    In(ζ)= [Pn-2(ζ)-Pn(ζ)]/(2n-1)

    3. The attempt at a solution

    I know d/dθ= d/dζ * dζ/dθ = -sinθ*d/dζ by the chain rule since ζ=cosθ, but how to apply that to integration of the gegenbauer with respect to theta? I came across that problem as I used integration via parts to solve the original problem.
     
    Last edited: Aug 20, 2011
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Integrating the Gegenbauer function (1st kind) wrt theta
Loading...