Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

Li-Qin Luo, and Xiu-Min Zheng. "Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations." Open Mathematics 14.1 (2016): 970-976. <http://eudml.org/doc/287110>.

@article{Li2016,
abstract = {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.},
author = {Li-Qin Luo, Xiu-Min Zheng},
journal = {Open Mathematics},
keywords = {Complex linear differential-difference equation; Meromorphic solution; Small function; Order; Convergence exponent; differential-difference equations; meromorphic solutions; small functions; value distribution},
language = {eng},
number = {1},
pages = {970-976},
title = {Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations},
url = {http://eudml.org/doc/287110},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Li-Qin Luo
AU - Xiu-Min Zheng
TI - Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 970
EP - 976
AB - 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.
LA - eng
KW - Complex linear differential-difference equation; Meromorphic solution; Small function; Order; Convergence exponent; differential-difference equations; meromorphic solutions; small functions; value distribution
UR - http://eudml.org/doc/287110
ER -