On the Deficiencies of Some Differential-Difference Polynomials

Xiu-Min Zheng, Hong Yan Xu
2014 Abstract and Applied Analysis  
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
more » ... ce analogues of some classic results of Hayman and Yang. Examples are given to illustrate our results at the end of this paper.
doi:10.1155/2014/378151 fatcat:b6tx4a5i7rhczic4gmhargbclu