On the Deficiencies of Some Differential-Difference Polynomials

On the Deficiencies of Some Differential-Difference Polynomials

The characteristic functions of differential-difference polynomials are investigated, and the result can be viewed as a differential-difference analogue of the classic Valiron-Mokhon’ko Theorem in some sense and applied to investigate the deficiencies of some homogeneous or nonhomogeneous differenti...

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Main Authors: Xiu-Min Zheng, Hong Yan Xu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/378151
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spelling doaj-38db68b3d33b4d09bbd86b913daff7842020-11-25T01:57:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/378151378151On the Deficiencies of Some Differential-Difference PolynomialsXiu-Min Zheng0Hong Yan Xu1Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, ChinaDepartment of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, ChinaThe characteristic functions of differential-difference polynomials are investigated, and the result can be viewed as a differential-difference analogue of the classic Valiron-Mokhon’ko Theorem in some sense and applied to investigate the deficiencies of some homogeneous or nonhomogeneous differential-difference polynomials. Some special differential-difference polynomials are also investigated and these results on the value distribution can be viewed as differential-difference analogues of some classic results of Hayman and Yang. Examples are given to illustrate our results at the end of this paper.http://dx.doi.org/10.1155/2014/378151
collection DOAJ
language English
format Article
sources DOAJ
author Xiu-Min Zheng
Hong Yan Xu
spellingShingle Xiu-Min Zheng
Hong Yan Xu
On the Deficiencies of Some Differential-Difference Polynomials
Abstract and Applied Analysis
author_facet Xiu-Min Zheng
Hong Yan Xu
author_sort Xiu-Min Zheng
title On the Deficiencies of Some Differential-Difference Polynomials
title_short On the Deficiencies of Some Differential-Difference Polynomials
title_full On the Deficiencies of Some Differential-Difference Polynomials
title_fullStr On the Deficiencies of Some Differential-Difference Polynomials
title_full_unstemmed On the Deficiencies of Some Differential-Difference Polynomials
title_sort on the deficiencies of some differential-difference polynomials
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description The characteristic functions of differential-difference polynomials are investigated, and the result can be viewed as a differential-difference analogue of the classic Valiron-Mokhon’ko Theorem in some sense and applied to investigate the deficiencies of some homogeneous or nonhomogeneous differential-difference polynomials. Some special differential-difference polynomials are also investigated and these results on the value distribution can be viewed as differential-difference analogues of some classic results of Hayman and Yang. Examples are given to illustrate our results at the end of this paper.
url http://dx.doi.org/10.1155/2014/378151
work_keys_str_mv AT xiuminzheng onthedeficienciesofsomedifferentialdifferencepolynomials
AT hongyanxu onthedeficienciesofsomedifferentialdifferencepolynomials
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