On the coefficient bodies of meromorphic univalent functions omitting a disc
Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 47-58.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let S(b) be the class of bounded normalized univalent functions and Σ(b) the class of normalized univalent meromorphic functions omitting a disc with radius b. The close connection between these classes allows shifting the coefficient body information from the former to the latter. The first non-trivial body can be determined in Σ(b) as well as the next one in the real subclass $Σ_{R}(b)$.
DOI : 10.4064/ap-75-1-47-58
Keywords: coefficient bodies, univalent functions

Olli Tammi 1

1
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Olli Tammi. On the coefficient bodies of meromorphic univalent functions omitting a disc. Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 47-58. doi : 10.4064/ap-75-1-47-58. http://geodesic.mathdoc.fr/articles/10.4064/ap-75-1-47-58/

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