Note on the uniqueness holomorphic function on the unit disk

Akyel, TUĞBA; Azeroğlu, Tahir

doi:10.2298/fil1806321a

Note on the uniqueness holomorphic function on the unit disk

Akyel T., Azeroğlu T. A.

Filomat, cilt.32, sa.6, ss.2321-2325, 2018 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 32 Sayı: 6
Basım Tarihi: 2018
Doi Numarası: 10.2298/fil1806321a
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2321-2325
Anahtar Kelimeler: Harnack inequality, Holomorphic function, Phragmen-Lindelöf princible
Maltepe Üniversitesi Adresli: Evet

Özet

Let f be an holomorphic function the unit disk to itself. We provide conditions on the local behavior of f along boundary near a finite set of the boundary points that requires f to be a finite Blaschke product.