Relative (p, q)-φ order and relative (p, q)-φ type oriented some growth investigations of composite p-adic entire functions

Abstract

Let is the -algebra of entire functions defined on a complete ultrametric algebraically closed field . For a p-adic entire function and for r > 0, sup{| f (x)|:|x|= r} is denoted by | f |(r), where |⋅|(r) is a multiplicative norm on . Taking φ(r): [0, +∞) → (0, +∞) as a non-decreasing unbounded function of r, in this paper we develop some results of composite p-adic entire functions in terms of their relative (p, q) – φ order and relative (p, q) - φ lower order along with relative (p, q) - φ type and relative (p, q) - φ weak type, where p, q are two positive integers.