Share
Explore BrainMass

Prove a function is analytic in an open disk.

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.

Solution Summary

A function is proven to be analytic in an open disk.

$2.19