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Title: On harmonic bloch and normal functions
Authors: Uludaǧ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.
Öztürk, Metin
Yalçın, Sibel
Keywords: Mathematics
Harmonic functions
Univalent functions
Bloch function
Normal function
Issue Date: Aug-2005
Publisher: Indian Nat Acad
Citation: Öztürk, M. ve Yalçın, S. (2005). "On harmonic bloch and normal functions". Indian Journal of Pure and Applied Mathematics, 36(8), 407-416.
Abstract: Let f = h + (g) over bar be a harmonic univalent and sense preserving function on the unit disk, where h and g are analytic. We give the definition of a normal harmonic function. The necessary and sufficient conditions for f = h + g to be Bloch or normal are determined. The sharp upper bound for vertical bar f (z) vertical bar is obtained whenever f = h + (g) over bar is a Bloch function. We obtain sharp estimates for the normality order of f when f maps the unit disk onto the unit disk.
ISSN: 0019-5588
Appears in Collections:Scopus
Web of Science

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