Geodesic
Some properties of solutions of complex $q$-shift difference equations
Hong-Yan Xu1 ; Jin Tu2 ; Xiu-Min Zheng2
1Department of Informatics and Engineering Jingdezhen Ceramic Institute Jingdezhen, Jiangxi, 333403, China
2Institute of Mathematics and Informatics Jiangxi Normal University Nanchang, Jiangxi, 330022, China
Annales Polonici Mathematici, Tome 108 (2013) no. 3, pp. 289-304
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Combining difference and $q$-difference equations, we study the properties of meromorphic solutions of $q$-shift difference equations from the point of view of value distribution. We obtain lower bounds for the Nevanlinna lower order for meromorphic solutions of such equations. Our results improve and extend previous theorems by Zheng and Chen and by Liu and Qi. Some examples are also given to illustrate our results.
DOI : 10.4064/ap108-3-6
Keywords: combining difference q difference equations study properties meromorphic solutions q shift difference equations point view value distribution obtain lower bounds nevanlinna lower order meromorphic solutions equations results improve extend previous theorems zheng chen liu examples given illustrate results

Hong-Yan Xu  1   ; Jin Tu  2   ; Xiu-Min Zheng  2

1 Department of Informatics and Engineering Jingdezhen Ceramic Institute Jingdezhen, Jiangxi, 333403, China
2 Institute of Mathematics and Informatics Jiangxi Normal University Nanchang, Jiangxi, 330022, China 
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Hong-Yan Xu; Jin Tu; Xiu-Min Zheng. Some properties of solutions of complex
 $q$-shift difference equations. Annales Polonici Mathematici, Tome 108 (2013) no. 3, pp. 289-304. doi: 10.4064/ap108-3-6

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