Electron. J. Diff. Equ., Vol. 2015 (2015), No. 59, pp. 1-9.

Properties of meromorphic solutions of q-difference equations

Xiaoguang Qi, Lianzhong Yang

In this article, we utilize Nevanlinna value distribution theory to study the solvability and the growth of meromorphic function f(z) that satisfies some q-difference equations, which can be seen the q-difference analogues of Painleve I and II equations. This article extends earlier results by Chen et al [2,3].

Submitted August 19, 2014. Published March 10, 2015.
Math Subject Classifications: 39A05, 30D35.
Key Words: Meromorphic functions; q-difference equation; growth; zero order.

Show me the PDF file (214 KB), TEX file, and other files for this article.

Xiao-Guang Qi
Jinan University, School of Mathematics
Jinan, Shandong 250022, China
email: xiaogqi@mail.sdu.edu.cn, sms_qixg@ujn.edu.cn
Lian-Zhong Yang
Shandong University, School of Mathematics
Jinan, Shandong 250100, China
email: lzyang@sdu.edu.cn

Return to the EJDE web page