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...
Main Authors: | , |
---|---|
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 |
id |
doaj-38db68b3d33b4d09bbd86b913daff784 |
---|---|
record_format |
Article |
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 |
_version_ |
1724971747016441856 |