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Article
Publication date: 10 August 2021

Abhijit Banerjee and Arpita Roy

The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator.

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Abstract

Purpose

The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator.

Design/methodology/approach

Standard methodology for papers in difference and shift operators and value distribution theory have been used.

Findings

The relation between an entire function of restricted hyper-order with its linear c-shift operator was found under the periphery of sharing a set of two small functions IM (ignoring multiplicities) when exponent of convergence of zeros is strictly less than its order. This research work is an improvement and extension of two previous papers.

Originality/value

This is an original research work.

Details

Arab Journal of Mathematical Sciences, vol. 28 no. 2
Type: Research Article
ISSN: 1319-5166

Keywords

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Only Open Access

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