series expansion in the variable k of elliptic integral

dts5044

Junior Member
Joined
Mar 6, 2008
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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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