Value distribution of q-differences of meromorphic functions in several complex variables
Complex Variables
2020-11-25 v3
Abstract
In this paper, we study -difference analogues of several central results in value distribution theory of several complex variables such as -difference versions of the logarithmic derivative lemma, the second main theorem for hyperplanes and hypersurfaces, and a Picard type theorem. Moreover, the Tumura-Clunie theorem concerning partial -difference polynomials is also obtained. Finally, we apply this theory to investigate the growth of meromorphic solutions of linear partial -difference equations.
Keywords
Cite
@article{arxiv.1612.07416,
title = {Value distribution of q-differences of meromorphic functions in several complex variables},
author = {Tingbin Cao and Risto Korhonen},
journal= {arXiv preprint arXiv:1612.07416},
year = {2020}
}
Comments
32 pages. This is the final version for being published. arXiv admin note: text overlap with arXiv:1601.05716