Open Access
2014 On the Deficiencies of Some Differential-Difference Polynomials
Xiu-Min Zheng, Hong Yan Xu
Abstr. Appl. Anal. 2014(SI14): 1-12 (2014). DOI: 10.1155/2014/378151


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.


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Xiu-Min Zheng. Hong Yan Xu. "On the Deficiencies of Some Differential-Difference Polynomials." Abstr. Appl. Anal. 2014 (SI14) 1 - 12, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022257
MathSciNet: MR3176739
Digital Object Identifier: 10.1155/2014/378151

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI14 • 2014
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