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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- September 27th 2008, 12:06 PMminivan15series expansion of an elliptic integral
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? - September 27th 2008, 04:27 PMshawsend
Hey, check out the Wikipedia entry on the Binomial expansion. For fractional powers in the denominator its:

alright then:

You can do that. Then integrate term by term to get:

- September 28th 2008, 02:27 PMminivan15
awesome! I got it using that! thanks a bunch!!