my problem is: find a series expansion in the variable k of F(k, pi/2) for 0 < k < 1
F(k, pi/2) = [integral from 0 to pi/2] dx/SQRT(1-ksinx)^2)
what is a good starting point for this?
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Hey, check out the Wikipedia entry on the Binomial expansion. For fractional powers in the denominator its:
You can do that. Then integrate term by term to get:
awesome! I got it using that! thanks a bunch!!
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