In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the convergence exponents of the zeros, poles, a-points and small function value points of the solutions, which show the relations in the case of non-homogeneous equations are sharper than the ones in the case of homogeneous equations.
@article{bwmeta1.element.doi-10_1515_math-2016-0087,
author = {Li-Qin Luo and Xiu-Min Zheng},
title = {Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {970-976},
zbl = {1354.30021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0087}
}
Li-Qin Luo; Xiu-Min Zheng. Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations. Open Mathematics, Tome 14 (2016) pp. 970-976. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0087/