On the coefficient bodies of meromorphic univalent functions omitting a disc

Abstract

On the coefficient bodies of meromorphic univalent functions omitting a disc by Olli Tammi (Helsinki) 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).