6 papers · 1 filter
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…
Coefficient Inequalities for Concave and Meromorphically Starlike Univalent Functions
Bappaditya Bhowmik, Saminathan Ponnusamy
Let $\ID$ denote the open unit disk and $f:\,\ID\TO\BAR\IC$ be meromorphic and univalent in $\ID$ with the simple pole at and satisfying the standard normalization $f(…
Domains of variability of Laurent coefficients and the convex hull for the family of concave univalent functions
B. Bhowmik, S. Ponnusamy, K-J. Wirths
Let $\ID$ denote the open unit disc and let . We consider the family of functions $f:\ID\to \overline{\IC}$ that satisfy the following conditions: \bee \item[(i…
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 exponentially convex univalent functions
S. Ponnusamy, A. Vasudevarao, M. Vuorinen
For $α\in\IC\setminus \{0\}$ let denote the class of all univalent functions in the unit disk and is given by , satis…