Ein Beilrag zum Koeffizientenproblem der schlichten Funktionen
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V. V. Levin (1934)
Mathematische Zeitschrift
Victor Levin (1933)
Jahresbericht der Deutschen Mathematiker-Vereinigung
Reiner Kühnau (2011)
Annales UMCS, Mathematica
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.
Hans Hornich (1972)
Monatshefte für Mathematik
Kayumov, I.R., Obnosov, Yu.V. (2005)
Sibirskij Matematicheskij Zhurnal
Romanova, S.V. (2003)
Sibirskij Matematicheskij Zhurnal
Zemyan, Stephen M. (1993)
International Journal of Mathematics and Mathematical Sciences
A. Zielińska, K. Zyskowska (1983)
Annales Polonici Mathematici
Izydor Dziubiński (1975)
Annales Polonici Mathematici
J. Śladkowska (1998)
Annales Polonici Mathematici
D. V. Prokhorov (1993)
Annales Polonici Mathematici
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.
Krushkal, Samuel L. (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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