Ein Beilrag zum Koeffizientenproblem der schlichten Funktionen
Eine Bemerkung zum Koeffizientenproblem der schlichten Funktionen.
Eine Klasse nichtschlichter konformer Abbildungen mit einer schlichten quasikonformen Fortsetzung. II
We study a dual analogue of the class Σ(κ) of hydrodynamically normalized schlicht conformal mappings g(z) of the exterior of the unit circle with a [...] -quasiconformal extension, namely now those (non-schlicht) mappings g(z) for which g(z) has such a quasiconformal extension.
Eine partielle Differentialgleichung in Zusammenhang mit den schlichten Funktionen.
Estimates for integral means of hyperbolically convex functions.
Estimates for some functionals of bounded nonvanishing functions.
Estimates of logarithmic coefficients of univalent functions.
Estimation of the sixth coefficient in the class of bounded univalent functions with real coefficients
Estimations of the coefficients of quasi-starlike functions
Estimations of the second coefficient of a univalent, bounded, symmetric and non-vanishing function by means of Loewner's parametric method
Even coefficient estimates for bounded univalent functions
Extremal coefficient properties of Pick functions are proved. Even coefficients of analytic univalent functions f with |f(z)| < M, |z| < 1, are bounded by the corresponding coefficients of the Pick functions for large M. This proves a conjecture of Jakubowski. Moreover, it is shown that the Pick functions are not extremal for a similar problem for odd coefficients.
Exact coefficient estimates for univalent functions with quasiconformal extension.