56 citations · 56 across the 4 of their papers we have counts for
5 papers
Analytic functions with hyperbolic range and Bohr's inequality
Yusuf Abu Muhanna, Issam Louhichi
We use properties of the hyperbolic metric and properties of the modular function to show that the Bohr's radius for covering maps onto hyperbolic domains is greater or equal to ex…
Bohr's inequality for large functions
Loai Shakaa, Yusuf Abu Muhanna
We prove that the Bohr' radius for large functions is
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…
On the Bohr inequality
Yusuf Abu Muhanna, Rosihan M. Ali, Saminathan Ponnusamy
The Bohr inequality, first introduced by Harald Bohr in 1914, deals with finding the largest radius , , such that holds whenever $|\su…
Extreme points method and univalent harmonic mappings
Y. Abu Muhanna, S. Ponnusamy
We consider the class of all sense-preserving complex-valued harmonic mappings defined on the unit disk $\ID$ with the normalization and $g(0)=g'(0)…