a) If for the multivalued function \(\displaystyle f\left(z\right)=\sqrt{z-i}+\sqrt{z+i}\) the branch cuts are chosen as the segments that join z = i with z = -i, and z = -i with \(\displaystyle \infty \), indicates how the 16 edges are identified on the four sheets to form their Riemann surface.
b) For the multivalued function \(\displaystyle h\left(z\right)=\sqrt{z^2+1}\), let H(z) be the branch obtained by choosing the branch cut as the segment that joins the two branch points and H(1)> 0. Determine the value of H(-2-i) and justify it.
b) For the multivalued function \(\displaystyle h\left(z\right)=\sqrt{z^2+1}\), let H(z) be the branch obtained by choosing the branch cut as the segment that joins the two branch points and H(1)> 0. Determine the value of H(-2-i) and justify it.
