13 citations · 66 across the 43 of their papers we have counts for
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math.CV2017★ 1 cited
Harmonic pre-Schwarzian and its applications
Gang Liu, Saminathan Ponnusamy
The primary aim of this article is to extend certain inequalities concerning the pre-Schwarzian derivatives from the case of analytic univalent functions to that of univalent harmo…
math.CV2017
On Harmonic -Bloch and -Bloch-type mappings
Gang Liu, Saminathan Ponnusamy
The aim of this paper is twofold. One is to introduce the class of harmonic -Bloch-type mappings as a generalization of harmonic -Bloch mappings and thereby we generalize som…
math.CV2017
Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm
Gang Liu, Saminathan Ponnusamy
In this paper, we consider the class of uniformly locally univalent harmonic mappings in the unit disk and build a relationship between its pre-Schwarzian norm and uniformly hyperb…