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    STUDIA MATHEMATICA - Issue no. 4 / 2019  
         
  Article:   ON THE PERIODICITY OF MEROMORPHIC FUNCTIONS WHEN SHARING TWO SETS IM.

Authors:  MOLLA BASIR AHAMED.
 
       
         
  Abstract:  In this paper, we have considered two sets sharing problems, and investigated on some sufficient conditions for the periodicity of meromorphic functions and obtained two results improving the result of ;i:Bhoosnurmath-Kabbur [6], Qi- Dou-Yang [17] and Zhang [20].;/i: The results are: Some examples have been exhibited to show that, the meromorphic functions, we have considered may be of infinite order, and also to show that the sets considered in the main results, can''''t be replace by some arbitrary sets. At the last section, we have posed a question for the future research in this direction.
Mathematics Subject Classification (2010): 30D35.

Keywords: Meromorphic function, shared sets, finite and infinite order, shift operator, periodicity.
 
         
     
         
         
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