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http://dx.doi.org/10.5831/HMJ.2018.40.4.621

A NOTE ON (p, q)-TH RELATIVE ORDER AND (p, q)-TH RELATIVE TYPE OF P-ADIC ENTIRE FUNCTIONS

Biswas, Tanmay (Rajbari)

Publication Information

Honam Mathematical Journal / v.40, no.4, 2018 , pp. 621-659 More about this Journal

Abstract

Let us consider that ${\mathbb{K}}$ be a complete ultrametric algebraically closed field and A ( ${\mathbb{K}}$ ) be the ${\mathbb{K}}$ -algebra of entire functions on ${\mathbb{K}}$ . In this paper we introduce the notions of (p, q)-th relative order and (p, q)-th relative type of entire functions on ${\mathbb{K}}$ where p and q are any two positive integers and then study some basic properties of p-adic entire functions on the basis of their (p, q)-th relative order and (p, q)-th relative type.

Keywords

p-adic entire functions; (p, q)-th relative order; (p, q)-th relative type; Property (P);

Citations & Related Records

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