Geodesic
On the coefficient bodies of meromorphic univalent functions omitting a disc
Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 47-58 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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