Numerical Integration of Equation

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strokebow
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Hi guys,

I am looking to integrate the attached equation using C++.

I was wondering if you could tell me what type of equation it is, and if you could recommend an algorithm to use to solve this (and why)?

I need to use this for 100's of points (m,n) on a grid so a fastish algorithm would be preferred.

Please see attached equation. Your advice and help is much appreciated.
 
Attachments
  • Equation for R sub m,n: one over two pi times the integral from 0 to 2pi of (1/t) times [1 minus ((t-1)/(t+1)) to the power (m+n) times ((t-i)/(t+i)) to the power (m-n)] dt.
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don't know about no algorithm, but solving it with a computer seems very straightforward.
 
What is i in the expression?
Is it a positive integer or the imaginary number √-1 ?