Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2014), Article ID 378151, 12 pages.
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 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.
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 378151, 12 pages.
First available in Project Euclid: 6 October 2014
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Zheng, Xiu-Min; Xu, Hong Yan. On the Deficiencies of Some Differential-Difference Polynomials. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 378151, 12 pages. doi:10.1155/2014/378151. https://projecteuclid.org/euclid.aaa/1412607233