On Zero Sets and Parametric Representations of some New Analytic and Meromorphic Function Spaces in the Unit Disk

Miloš Arsenović, Romi F. Shamoyan

We introduce and study some certain new scales of analytic and meromorphic functions in the unit disk and solve some problems connected with parametric representations in these scales of spaces. Namely, we provide a complete description of zero sets and then, based on that description, present new parametric representations for functions in those spaces.