On the \((p, q)\)th relative order oriented growth properties of entire functions
type: Item
instance of: scholarly article
title: On the \((p, q)\)th relative order oriented growth properties of entire functions
zbMATH Open document ID: 1474.30231
DOI: 10.1155/2014/826137
author: L. M. Sánchez Ruiz
author: Sanjib Kumar Datta
author: Tanmay Biswas
author: Golok Kumar Mondal
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The relative order of growth gives a quantitative assessment of how different functions scale each other and to what extent they are self-similar in growth. In this paper for any two positive integers \(p\) and \(q\), we wish to introduce an alternative definition of relative \((p, q)\)th order which improves the earlier definition of relative \((p, q)\)th order as introduced by \textit{B. K. Lahiri} and \textit{D. Banerjee} [Soochow J. Math. 31, No. 4, 497--513 (2005; Zbl 1090.30031)]. Also in this paper we discuss some growth rates of entire functions on the basis of the improved definition of relative \((p, q)\)th order with respect to another entire function and extend some earlier concepts as given by Lahiri and Banerjee [loc. cit.], providing some examples of entire functions whose growth rate can accordingly be studied.
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 30D15
zbMATH DE Number: 7023148
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/826137
OpenAlex ID: W1991601592
cites work: Relative growth order of entire functions
cites work: Q3372198
cites work: Q4083970
cites work: On the rate of growth of entire functions of fast growth
cites work: Generalised relative order of entire functions
cites work: Q4932123
cites work: Relative order of an entire function
cites work: Q3633786
cites work: Q4639748
cites work: Q3367488
cites work: Q5474545
cites work: Q5446006
cites work: Relative order of meromorphic functions
cites work: Q4002072
cites work: Periodic points of entire functions: proof of a conjecture of Baker
cites work: Complex dynamics
cites work: Q4210915
cites work: Dynamics in one complex variable. Introductory lectures.
cites work: Q4933741
Wikidata QID: Q59041822
description: scientific article; zbMATH DE number 7023148