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7 papers · 1 filter
Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings
SH. Chen, S. Ponnusamy, X. Wang
In this paper, we investigate some properties of planar harmonic mappings. First, we generalize the main results in \cite{CPW3} and \cite{HT}, and then discuss the relationship bet…
Lipschitz spaces and bounded mean oscillation of harmonic mappings
Sh. Chen, S. Ponnusamy, M. Vuorinen +1
In this paper, we first study the bounded mean oscillation of planar harmonic mappings, then a relationship between Lipschitz-type spaces and equivalent modulus of real harmonic ma…
On some problems of James Miller
B. Bhowmik, S. Ponnusamy, K-J. Wirths
We consider the class of meromorphic univalent functions having a simple pole at and that map the unit disc onto the exterior of a domain which is starlike with respect…
Characterization and the pre-Schwarzian norm estimate for concave univalent functions
B. Bhowmik, S. Ponnusamy, K-J. Wirths
Let denote the class of concave univalent functions in the unit disk $\ID$. Each function maps the unit disk $\ID$ onto the complement of an unbounded convex s…
Region of variability for functions with positive real part
S. Ponnusamy, A. Vasudevarao
For $γ\in\IC$ such that and , let denote the class of all analytic functions in the unit disk with and $$ {\rm R…
Region of variability for certain classes of univalent functions satisfying differential inequalities
S. Ponnusamy, A. Vasudevarao, M. Vuorinen
In this paper we determine the region of variability for certain subclasses of univalent functions satisfying differential inequalities. In the final section we graphically illustr…