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math.CV2017
Characterizing Rotationally Typically Real Logharmonic Mappings
Najla M. Alarifi, Zayid Abdulhadi, Rosihan M. Ali
This paper treats the class of normalized logharmonic mappings f(z) = zh(z)bar{g(z)} in the unit disk satisfying ϕ(z) = zh(z)g(z) is analytically typically real. Every such mapping…
math.CV2017
Dirichlet problem, Univalency and Schwarz Lemma for Biharmonic Mappings
Zayid Abdulhadi, Yusuf Abu Muhanna, Saminathan Ponnusamy
In this paper, we shall discuss the family of biharmonic mappings for which maximum principle holds. As a consequence of our study, we present Schwarz Lemma for the family of bihar…