Canonical functions of admissible measures in the half-plane
MATHEMATICAL NOTES, cilt.96, ss.391-402, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 96
- Basım Tarihi: 2014
- Doi Numarası: 10.1134/s0001434614090119
- Dergi Adı: MATHEMATICAL NOTES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.391-402
- İstanbul Üniversitesi Adresli: Evet
Özet
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.