ON THE FOURTH COEFFICIENT OF UNIVALENT FUNCTIONS WITH BOUNDED BOUNDARY ROTATION
STANFORD UNIV CA DEPT OF MATHEMATICS
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The coefficient problem for the fourth coefficient of a univalent function with bounded boundary rotation is completely solved. This is achieved by using the general conditions for the extremum function of a coefficient problem in this function class, which has been given in a previous paper by the authors. The main achievement in the present paper is to show that the extremum conditions together with a considerable amount of numerical work allows to determine the precise extremum value in this case.
- Theoretical Mathematics