On the Deficiencies of Some Differential-Difference Polynomials

Xiu-Min Zheng and Hong Yan Xu

Abstract and Applied Analysis, 2014, vol. 2014, 1-12

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:378151

DOI: 10.1155/2014/378151

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