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A Loewner approach to a coefficient inequality for bounded univalent functions
1977
Proceedings of the American Mathematical Society
Preserved Fulltext
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