4 papers
Herman Rings: Structure, Dynamics, and Open Problems
Gorachand Chakraborty, Subhasis Ghora, Tarakanta Nayak
The existence of the Herman ring of a function adds interest and complexity to the dynamics of the function. We present a detailed and understandable summary of the core discoverie…
Convexity of the Berezin range of operators on
Sandip Kumar Maiti, Satyajit Sahoo, Gorachand Chakraborty
In this paper, we characterize the convexity of the Berezin range for finite-rank operators acting on the weighted Hardy space over the unit disc $\mat…
Denjoy-Wolff like set for rational semigroups
Subham Chatterjee, Gorachand Chakraborty, Tarun Kumar Chakra
In this paper, we introduce the concept of Denjoy-Wolff set in rational semigroups. We show that for finitely generated Abelian rational semigroups, the Denjoy-Wolff like set is co…
On the dynamics of Stirling's iterative root-finding method for rational functions
Nitai Mandal, Gorachand Chakraborty
We study the dynamics of Stirling's iterative root-finding method for rational and polynomial functions. It is seen that the Scaling theorem is not satisfied by Stirling'…