Abstract
AbstractThis paper is devoted to the uniqueness of q-difference-differential polynomials of different types. Using the idea of common zeros and common poles (Chin. Ann. Math., Ser. A 35:675–684, 2014), we improve the conditions of the former theorems and obtain some new results on the uniqueness of q-difference-differential polynomials of meromorphic functions.
Funder
National Natural Science Foundation of China
Outstanding Youth Foundation of Jiangxi Province of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference14 articles.
1. Chiang, Y.M., Feng, S.J.: On the Nevanlinna characteristic of $f(z+\eta)$ and difference equations in the complex plane. Ramanujan J. 16(1), 105–129 (2008)
2. Hayman, W.K.: Meromorphic Functions. Clarendon Press, Oxford (1964)
3. Laine, I.: Nevanlinna Theory and Complex Differential Equations. de Gruyter, Berlin (1993)
4. Liu, K., Liu, X.L., Cao, T.B.: Uniqueness and zeros of q-shift difference polynomials. Proc. Indian Acad. Sci. Math. Sci. 121(3), 301–310 (2011)
5. Liu, K., Liu, X.L., Cao, T.B.: Value distribution and uniqueness of difference polynomials. Adv. Differ. Equ. 2011, Article ID 234215 (2011)
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