×

Coefficients of the inverse of strongly starlike functions. (English) Zbl 1185.30010

Summary: For the class of strongly starlike functions, sharp bounds on the first four coefficients of the inverse functions are determined. A sharp estimate for the Fekete-Szegő coefficient functional is also obtained. These results were deduced from non-linear coefficient estimates of functions with positive real part.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
PDFBibTeX XMLCite
Full Text: EuDML EMIS