Equipolar meromorphic functions sharing a set

Arindam Sarkar

Abstract


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.


Keywords


Meromorphic function, uniqueness, set sharing

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2021.3.08

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