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    STUDIA MATHEMATICA - Issue no. 3 / 2021  
         
  Article:   EQUIPOLAR MEROMORPHIC FUNCTIONS SHARING A SET.

Authors:  ARINDAM SARKAR.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2021.3.08

Published Online: 2021-09-30
Published Print: 2021-09-30
pp. 507-520

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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-Dyavanal [4] and Banerjee-Mallick [3] 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.

Mathematics Subject Classification (2010): 30D35.

Keywords: Meromorphic function, uniqueness, set sharing.
 
         
     
         
         
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