Open AccessLandau-Bloch theorems for bounded biharmonic mappings
Author(s) -
Rasoul Aghalary,
Abdolmajid Mohammadian,
Jay M. Jahangiri
Publication year - 2019
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/fil1914593a
Subject(s) - biharmonic equation , mathematics , bounded function , planar , mathematical analysis , pure mathematics , boundary value problem , computer graphics (images) , computer science
We determine coefficient bounds for bounded planar biharmonic mappings and generalize the Landau-Bloch univalency theorems for such bounded biharmonic functions. The univalence radii presented here improve many related results published to date, including the most recent one [Complex Var. Elliptic Equ. 58(12) (2013), 1667-1676] and are sharp in some given cases.