Determination of the coefficient body (a2, a3) by aid of a perfect square method.- The linear combination a3+?a2 in SR(b).- Re (a3+?a2) in S(b).- Determination of extremal domains.- A Löwner-identity for finding the Power-inequality for a second coefficient body in SR(b).- Schiffer’s differential equation for functions 2?3.- A generalized power-inequality for SR(b)-functions.- Consequences for the second coefficient body in SR(b).