Equipolar meromorphic functions sharing a set
DOI:
https://doi.org/10.24193/subbmath.2021.3.08Keywords:
Meromorphic function, uniqueness, set sharingAbstract
Two meromorphic functions $f$ and $g$ having the same set of poles are known as equipolar. In this paper we study some uniqueness results of equi-polar meromorphic
functions sharing a finite set and improve some recent results of Bhoosnurmath-Davanal\cite{5} and Banerjee-Mallick\cite{4} by removing some unnecessary
conditions on ramification indices as well as relaxing the condition on the nature of sharing of the value $\infty$ by $f$ and $g$ from counting multiplicity to ignoring multiplicity.
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