Entire functions sharing an entire function of smaller order with their shifts
type: Item
instance of: scholarly article
title: Entire functions sharing an entire function of smaller order with their shifts
zbMATH Open document ID: 1317.30041
author: Xiao-Min Li
author: Xiao Yang
author: Hongxun Yi
published in: Proceedings of the Japan Academy. Series A
publication date: 2013-05-22T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1359554919
review text: A recent development in value distribution theory is to study the value distribution of differences and shifts of meromorphic functions. In the mean time the basic tools of Nevanlinna theory for differences and shifts have been developed by many authors. Using these basic tools a number of authors investigate further problems on value distribution of difference and shift functions. In the paper under review the authors study the growth of the solutions of a difference equation and prove some results on uniqueness of entire functions that share an entire function of smaller order with their shifts.
reviewed by: Indrajit Lahiri
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 30D20
Mathematics Subject Classification ID: 30D30
zbMATH DE Number: 6164849
zbMATH Keywords: entire functions
zbMATH Keywords: difference equations
zbMATH Keywords: shared values
zbMATH Keywords: uniqueness problems
MaRDI profile type: Publication
OpenAlex ID: W1979327047
cites work: On meromorphic functions that share one value with their derivative
cites work: Q5611178
cites work: On entire functions which share one value CM with their first derivative
cites work: On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
cites work: On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions
cites work: Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
cites work: Q5483197
cites work: Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
cites work: Q5723337
cites work: Uniqueness of meromorphic functions sharing values with their shifts
cites work: Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity
cites work: Nevanlinna theory and complex differential equations
cites work: Clunie theorems for difference and q -difference polynomials
cites work: Value distribution of difference polynomials
cites work: Entire functions sharing a finite set with their difference operators
cites work: Meromorphic functions sharing a set with applications to difference equations
cites work: Value distribution of the difference operator
cites work: Q5517910
cites work: The value distribution of entire functions of finite order
cites work: Q4135840
cites work: Value distribution and shared sets of differences of meromorphic functions
DOI: 10.3792/PJAA.89.34
description: scientific article; zbMATH DE number 6164849