On the coefficient bodies of meromorphic univalent functions omitting a disc
Volume 75 / 2000
Annales Polonici Mathematici 75 (2000), 47-58
DOI: 10.4064/ap-75-1-47-58
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 $Σ_{R}(b)$.
