Canonical functions of admissible measures in the half-plane
MATHEMATICAL NOTES, vol.96, pp.391-402, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 96
- Publication Date: 2014
- Doi Number: 10.1134/s0001434614090119
- Journal Name: MATHEMATICAL NOTES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.391-402
- Istanbul University Affiliated: Yes
Abstract
For a gamma-admissible measure lambda in the upper half-plane, we introduce the notion of canonical function, generalizing the canonical Nevanlinna product for analytic functions of finite order in the half-plane. It is shown that, for any growth function gamma defined by the Boutroux proximate order, the given definition and the canonical Nevanlinna product coincide.