Prove a function is analytic in an open disk.
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Let g be continuous on the real interval [0,1] and define
H(z) := integral (from 0 to 1) [g(t)/(1-z[t^2])]dt, (|z| < 1)
Prove that H is analytic in the open disk |z| < 1.
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Solution Summary
A function is proven to be analytic in an open disk.
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