3. Let U C C be open and H : [a, b] x [0, 1] U be a homotopy with initial point zo and end point 21. Let so e [0, 1] and f: D(20, e) C holomorphic which can be analytically extended along Ys, to a holomor- phic function 9s, : D(21, n) + C. Prove that there exists 8 > 0 such that for all s [0, 1] with |s - Sol 0 such that for all s [0, 1] with |s - Sol