On the Deficiencies of Some Differential‐Difference Polynomials

Xiu-Min Zheng and Hong Yan Xu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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:wly:jnlaaa:v:2014:y:2014:i:1:n:378151

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