A Loewner approach to a coefficient inequality for bounded univalent functions

Duane W. De Temple, James A. Jenkins
1977 Proceedings of the American Mathematical Society  
The Loewner theory is used to obtain the sharp upper bound for the functional Re{e2'*(a3 -a|) + 4oe'*a2} over the class of univalent functions f(z) = b(z + a2z2 + a^z* + ... ) which map the unit disc into itself; 9 e R, o e [0, 1], and b 6 (0, 1] are fixed parameters.
doi:10.1090/s0002-9939-1977-0444932-4 fatcat:bn6tekqfyfgldl4py5e6pkgnqe