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

被引:0
|
作者
Biswas, Chinmay [1 ]
Biswas, Tanmay [2 ]
Biswas, Ritam [3 ]
机构
[1] Nabadwip Vidyasagar Coll, Dept Math, Nadia 741302, W Bengal, India
[2] RN Tagore Rd,PO Krishnagar, Rabindrapalli 741101, W Bengal, India
[3] Krishnath Coll, Dept Math, PO Berhampore, Murshidabad 742101, W Bengal, India
关键词
p-adic entire function; Composition; (p; q)-phi order; q)-phi lower order; Index-pair; Relative; q)-phi type; q)-phi weak type;
D O I
10.1080/09720502.2021.1887605
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let A(K) is the K-algebra of entire functions defined on a complete ultrametric algebraically closed field K. For a p-adic entire function f is an element of A(K) and for r > 0, sup{vertical bar f (x)vertical bar:vertical bar x vertical bar = r} is denoted by vertical bar f vertical bar( r), where vertical bar.vertical bar(r) is a multiplicative norm on A(K). Taking phi(r) : [0, +infinity) -> (0, +infinity) 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) - phi order and relative (p, q)-phi lower order along with relative (p, q)-phi type and relative (p, q)-phi weak type, where p, q are two positive integers.
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页码:233 / 246
页数:14
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