GROWTH OF MEROMORPHIC FUNCTIONS DEPENDING ON (p,q)-TH RELATIVE ORDER

Lokenath Debnath, Sanjib Kumar Datta, Tanmay Biswas, Ananya Kar

DOI Number
-
First page
691
Last page
705

Abstract


In this paper for any two positive integers p and q, we wish to introduce an alternative definition of relative (p,q) th order of a meromorphic function with respect to another entire function which improves the earlier definition of relative (p,q) th order of meromorphic function introduced by Banerjee and Jana (2007). Also in this paper we discuss some growth rates of composite entire and meromorphic functions on the basis of the improved definition of relative (p,q) th order of meromorphic function.

Keywords


Meromorphic function, entire function, index-pair, (p,q)-th order, relative (p,q)-th order, composition, growth.

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ISSN 0352-9665 (Print)
ISSN 2406-047X (Online)