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