A Note on Relative $(p,q)$ th Proximate Order of Entire Functions


  •  Luis Manuel Sanchez Ruiz    
  •  Sanjib Kumar Datta    
  •  Tanmay Biswas    
  •  Chinmay Ghosh    

Abstract

Relative order of functions measures specifically how different in growth two given functions are which helps to settle the exact physical state of a system. In this paper for any two positive integers $p$ and $q,$ we introduce the notion of relative $(p,q)$ th proximate order of an entire function with respect to another entire function and prove its existence.


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