On the coefficient bodies of meromorphic univalent functions omitting a disc

Olli Tammi

ArticleOriginal scientific text

Title

On the coefficient bodies of meromorphic univalent functions omitting a disc

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Affiliations

Institute of Mathematics, University of Helsinki, Yliopistokatu 5, 00014 Helsinki, Finland

Abstract

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)

.

Keywords

ENG

coefficient bodies, univalent functions

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Title

On the coefficient bodies of meromorphic univalent functions omitting a disc

Affiliations

Abstract

Keywords

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