Equipolar meromorphic functions sharing a set
DOI:
https://doi.org/10.24193/subbmath.2021.3.08Keywords:
Meromorphic function, uniqueness, set sharing.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 equipolar meromorphic functions sharing a finite set and improve some recent results of Bhoosnurmath-Dyavanal [4] and Banerjee-Mallick [3] by removing some unnec- essary conditions on ramification indices as well as relaxing the condition on the nature of sharing of the value ∞ by f and g from counting multiplicity to ignoring multiplicity.
Mathematics Subject Classification (2010): 30D35.
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