On zero sets and parametric representations of some new analytic and meromorphic function spaces in the unit disk | Zendy

Miloš Arsenović | Zendy; Romi F. Shamoyan | Zendy

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On zero sets and parametric representations of some new analytic and meromorphic function spaces in the unit disk

Author(s) -

Miloš Arsenović,

Romi F. Shamoyan

Publication year - 2011

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1103001a

Subject(s) - meromorphic function , mathematics , unit disk , zero (linguistics) , parametric statistics , analytic function , pure mathematics , unit (ring theory) , function (biology) , mathematical analysis , algebra over a field , discrete mathematics , philosophy , linguistics , statistics , mathematics education , evolutionary biology , biology

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.

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