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Chebyshev's method for exponential maps
Subhasis Ghora, Tarakanta Nayak, Soumen Pal +1
It is proved that the Chebyshev's method applied to an entire function is a rational map if and only if , for some polynomials and . These are refe…
Iteration of some topologically hyperbolic maps in the family
Subhasis Ghora, Tarakanta Nayak
Iteration of the function is investigated in this article. It is proved that for every , the Fatou set of has a completely invariant…
Rotation domains and Stable Baker omitted value
Subhasis Ghora, Tarakanta Nayak
A Baker omitted value, in short \textit{bov} of a transcendental meromorphic function is an omitted value such that there is a disk centered at the bov for which each compo…
On Fatou sets containing Baker omitted value
Subhasis Ghora, Tarakanta Nayak, Satyajit Sahoo
An omitted value of a transcendental meromorphic function is called a Baker omitted value, in short \textit{bov} if there is a disk centered at the bov such that each compo…
On periods of Herman rings and relevant poles
Subhasis Ghora, Tarakanta Nayak
Possible periods of Herman rings are studied for general meromorphic functions with at least one omitted value. A pole is called -relevant for a Herman ring of such a functi…