Accession Number:

AD0678831

Title:

ON THE FOURTH COEFFICIENT OF UNIVALENT FUNCTIONS WITH BOUNDED BOUNDARY ROTATION

Descriptive Note:

Corporate Author:

STANFORD UNIV CA DEPT OF MATHEMATICS

Personal Author(s):

• Schiffer, M.
• Tammi, O.

Report Date:

1966-10-14

Pagination or Media Count:

28.0

Abstract:

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.

Descriptors:

• *FUNCTIONS(MATHEMATICS)
• *COMPLEX VARIABLES
• MAPPING(TRANSFORMATIONS)
• POWER SERIES
• INEQUALITIES
• FINLAND
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE