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Research articles

ScienceAsia 46 (2020):ID 626-633 |doi: 10.2306/scienceasia1513-1874.2020.081


On the meromorphic solutions of generalized q-difference equations


Hongqiang Tua, Yongyi Gub,*

 
ABSTRACT:     A generalized q-difference analogue of the lemma on the logarithmic derivative is introduced, which is an improvement of previous result due to Korhonen, and was applied to the growth of meromorphic solutions of some linear difference equations. Examples are given to illustrate the sharpness of the results.

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a School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006 China
b Big Data and Educational Statistics Application Laboratory, Guangdong University of Finance and Economics, Guangzhou 510320 China

* Corresponding author, E-mail: gdguyongyi@163.com

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Received 2 Apr 2020, Accepted 18 Aug 2020