Value distribution of q-differences of meromorphic functions in several complex variables

被引：0
|
作者：
T.-B. Cao
R. J. Korhonen
机构：
[1] Nanchang University,Department of Mathematics
[2] University of Eastern Finland,Department of Physics and Mathematics
来源：
Analysis Mathematica | 2020年 / 46卷
关键词：
logarithmic derivative lemma; second main theorem; partial ; -difference equation; Picard type theorem; Tumura-Clunie theorem; primary 32H30; secondary 30D35, 39A14;
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学科分类号：
摘要：
In this paper, we study q-difference analogues of several central results in value distribution theory of several complex variables such as q-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 q-difference polynomials is also obtained. Finally, we apply this theory to investigate the growth of meromorphic solutions of linear partial q-difference equations.
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页码：699 / 736
页数：37
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