The uniqueness of meromorphic function shared values with meromorphic solutions of a class of q-difference equations

Author:

Wang Zhuo1,Lin Weichuan2

Affiliation:

1. School of Mathematics, Renmin University of China, Beijing 100872, China

2. Fujian Preschool Education College, Fuzhou 350007, China

Abstract

<abstract><p>We first investigate the meromorphic solutions of a class of homogeneous second-order q-difference equations and the uniqueness problem for a meromorphic function with three shared values; then we discuss the uniqueness problem for the meromorphic solutions of a class of nonhomogeneous q-difference equations and a meromorphic function with four shared values.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference11 articles.

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2. Z. X. Chen, Complex differences and difference equations, Beijing, Science Press, 2014. https://doi.org/10.1155/2014/124843

3. Z. X. Chen, K. H. Shou, On growth of meromorphic solutions for linear difference equations, Abstr. Appl., 2013, 619296. https://doi.org/10.1186/1687-1847-2013-60

4. N. Cui, Z. X. Chen, Uniqueness for meromorphic solutions sharing three values with a meromorphic function to some linear difference equations, Chinese Ann. Math., 38A (2017), 13–22.

5. W. K. Hayman, Meromorphic functions, Clarendon Press, Oxford, 1964.

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