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Meromorphic solutions of q-shift difference equations

  • Xiaoguang Qi EMAIL logo , Lianzhong Yang and Yong Liu
Published/Copyright: August 23, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 3

Abstract

In this paper, we consider the growth of meromorphic solutions of some generalized q-shift difference equation An(z)f(qz + n) + … + A1(z)f(qz + 1) + A0(z)f(qz) = 0. Moreover, we also investigate the existence of transcendental meromorphic solutions of Fermat type of q-shift difference equations.

MSC 2010: Primary 39A05; Secondary 30D35
Keywords: meromorphic functions; growth; q-shift difference equation

This work was supported by the National Natural Science Foundation of China (No. 11301220 and No. 11371225) and the Tianyuan Fund for Mathematics (No. 11226094), the NSF of Shandong Province, China (No. ZR2012AQ020 and No. ZR2010AM030) and the Fund of Doctoral Program Research of University of Jinan (XBS1211)

(Communicated by Stanisława Kanas)

Acknowledgement

The authors would like to thank the referee for his/her helpful suggestions and comments.

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Received: 2013-4-30
Accepted: 2013-9-2
Published Online: 2016-8-23
Published in Print: 2016-6-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0168
Keywords for this article
meromorphic functions; growth; q-shift difference equation

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  9. Research Article
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  11. Research Article
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