SOME GROWTH ASPECTS OF COMPOSITE P-ADIC ENTIRE FUNCTIONS IN THE LIGHT OF THEIR (p, q)-TH RELATIVE ORDER AND (p, q)-TH RELATIVE TYPE

Abstract

Let us consider that K be a complete ultrametric algebraically closed field and A (K) be the K-algebra of entire functions on K. In this paper we introduce the notions of (p, q)-th relative order and (p, q)-th relative type of p adic entire functions where p and q are any two positive integers and then study some growth properties of composite p adic entire functions in the light of their (p, q)-th relative order and (p, q)-th relative type. After that we show that (p, q) th relative order and (p, q)-th relative type are remain unchanged for derivatives under some certain conditions.

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