出版社：The Editorial Committee of the Interdisciplinary Information Sciences
摘要：We consider the inverse function z = g ( w ) of a (normalized) starlike function w = f ( z ) of order α on the unit disk of the complex plane with 0 < α < 1. Krzyż, Libera and Złotkiewicz obtained sharp estimates of the second and the third coefficients of g ( w ) in their paper (1979). Prokhorov and Szynal gave sharp estimates of the fourth coefficient of g ( w ) as a consequence of the solution to an extremal problem in 1981. We give a straightforward proof of the estimate of the fourth coefficient of g ( w ) together with explicit forms of the extremal functions.
关键词：starlike function of order α;inverse function;coefficient estimates
