Some properties of solutions of complex q-shift difference equations

Hong-Yan Xu, Jin Tu, and Xiu-Min Zheng. "Some properties of solutions of complex q-shift difference equations." Annales Polonici Mathematici 108.3 (2013): 289-304. <http://eudml.org/doc/280782>.

@article{Hong2013,
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.},
author = {Hong-Yan Xu, Jin Tu, Xiu-Min Zheng},
journal = {Annales Polonici Mathematici},
keywords = {-difference equations; -shift; transcendental meromorphic solution; Nevanlinna theory},
language = {eng},
number = {3},
pages = {289-304},
title = {Some properties of solutions of complex q-shift difference equations},
url = {http://eudml.org/doc/280782},
volume = {108},
year = {2013},
}

TY - JOUR
AU - Hong-Yan Xu
AU - Jin Tu
AU - Xiu-Min Zheng
TI - Some properties of solutions of complex q-shift difference equations
JO - Annales Polonici Mathematici
PY - 2013
VL - 108
IS - 3
SP - 289
EP - 304
AB - 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.
LA - eng
KW - -difference equations; -shift; transcendental meromorphic solution; Nevanlinna theory
UR - http://eudml.org/doc/280782
ER -