Value Distribution of Certain Type of Difference Polynomials

We investigate the value distribution of difference product f(z)n∑i=1k‍aif(z+ci), for n≥2 and n=1, respectively, where f(z) is a transcendental entire function of finite order and ai,ci are constants satisfying ∑i=1k‍aif(z+ci)≢0.

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Main Authors: Nan Li, Lianzhong Yang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/278786
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author Nan Li
Lianzhong Yang
author_facet Nan Li
Lianzhong Yang
author_sort Nan Li
collection DOAJ
description We investigate the value distribution of difference product f(z)n∑i=1k‍aif(z+ci), for n≥2 and n=1, respectively, where f(z) is a transcendental entire function of finite order and ai,ci are constants satisfying ∑i=1k‍aif(z+ci)≢0.
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institution Kabale University
issn 1085-3375
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-830da78c87274a2eb9bb15b6f476c48b2025-02-03T05:58:40ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/278786278786Value Distribution of Certain Type of Difference PolynomialsNan Li0Lianzhong Yang1School of Mathematics, Shandong University, Jinan, Shandong 250100, ChinaSchool of Mathematics, Shandong University, Jinan, Shandong 250100, ChinaWe investigate the value distribution of difference product f(z)n∑i=1k‍aif(z+ci), for n≥2 and n=1, respectively, where f(z) is a transcendental entire function of finite order and ai,ci are constants satisfying ∑i=1k‍aif(z+ci)≢0.http://dx.doi.org/10.1155/2014/278786
spellingShingle Nan Li
Lianzhong Yang
Value Distribution of Certain Type of Difference Polynomials
Abstract and Applied Analysis
title Value Distribution of Certain Type of Difference Polynomials
title_full Value Distribution of Certain Type of Difference Polynomials
title_fullStr Value Distribution of Certain Type of Difference Polynomials
title_full_unstemmed Value Distribution of Certain Type of Difference Polynomials
title_short Value Distribution of Certain Type of Difference Polynomials
title_sort value distribution of certain type of difference polynomials
url http://dx.doi.org/10.1155/2014/278786
work_keys_str_mv AT nanli valuedistributionofcertaintypeofdifferencepolynomials
AT lianzhongyang valuedistributionofcertaintypeofdifferencepolynomials