Some properties of solutions of complex q-shift difference equations

• Autorzy: Hong-Yan Xu , Jin Tu , Xiu-Min Zheng
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 39A50: Stochastic difference equations
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 108
• Numer: 3
• Strony: 289-304

Daty

wydano

2013

Twórcy

autor

Hong-Yan Xu

• Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi, 333403, China

autor

Jin Tu

• Institute of Mathematics and Informatics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China

autor

Xiu-Min Zheng

• Institute of Mathematics and Informatics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China

Identyfikatory

DOI

10.4064/ap108-3-6