Some properties of solutions of complex $q$-shift difference equations
Volume 108 / 2013
Annales Polonici Mathematici 108 (2013), 289-304
MSC: Primary 39A50; Secondary 30D35.
DOI: 10.4064/ap108-3-6
Abstract
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.
