Koebe sets for univalent functions with two preassigned values

Reade, Maxwell O.; Złotkiewicz, Eligiusz J.

doi:10.1090/S0002-9904-1971-12620-4

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Koebe sets for univalent functions with two preassigned values
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by Maxwell O. Reade and Eligiusz J. Złotkiewicz PDF

Bull. Amer. Math. Soc. 77 (1971), 103-105

References

Jan Krzyż and Maxwell O. Reade, Koebe domains for certain classes of analytic functions, J. Analyse Math. 18 (1967), 185–195. MR 212175, DOI 10.1007/BF02798044
J. Krzyż and E. Złotkiewicz, Koebe sets for univalent functions with two preassigned values, Ann. Acad. Sci. Fenn. Ser. A I No. 487 (1971), 12. MR 0281898
Zdzisław Lewandowski, Sur certaines classes de fonctions univalentes dans le cercle-unité, Ann. Univ. Mariae Curie-Skłodowska Sect. A 13 (1959), 115–126 (French, with Russian and Polish summaries). MR 120383
M. T. McGregor, On three classes of univalent functions with real coefficients, J. London Math. Soc. 39 (1964), 43–50. MR 162931, DOI 10.1112/jlms/s1-39.1.43
Werner Rogosinski, Über den Wertevorrat einer analytischen Funktion, von der zwei Werte vorgegeben sind, Compositio Math. 3 (1936), 199–226 (German). MR 1556940