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Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings
(SPRINGER WIEN, 2022)
SCHWARZIAN DERIVATIVES OF CONVEX MAPPINGS
(SUOMALAINEN TIEDEAKATEMIA, 2011)
A simple proof is given for Nehari's theorem that an analytic function f which maps the unit disk onto a convex region has Schwarzian norm parallel to f parallel to <= 2. The inequality in sharper form leads to the conclusion ...
Pre-Schwarzian and Schwarzian Derivatives of Harmonic Mappings.
In this paper we introduce a definition of the pre-Schwarzian and the Schwarzian derivatives of any locally univalent harmonic mapping f in the complex plane without assuming any additional condition on the (second complex) ...
Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings
(SPRINGER BASEL AG, 2019)
Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings.
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and Osgood (J Lond Math Soc 2:289–298, 1993), which assert that the bounds of the size of the hyperbolic norm of the Schwarzian ...
Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings.
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and Osgood (J Lond Math Soc 2:289–298, 1993), which assert that the bounds of the size of the hyperbolic norm of the Schwarzian ...