TY - JOUR
T1 - Borel exceptional values of meromorphic solutions of Painlevé III difference equations
AU - Zhang, Jilong
AU - Hongxun, Y.
PY - 2014/5
Y1 - 2014/5
N2 - In this paper, we investigate Borel exceptional values of meromorphic solutions of Painlevé III difference equations. In particular, let w be a transcendental meromorphic solution of ww(w-1) = η(w-λ) with finite order, where η (≠0), λ (≠0,1) are constants. If a, b are two Borel exceptional values of w, then a + b=1+≠) and ab = λ = ≠2. MSC: 30D35; 39A10
AB - In this paper, we investigate Borel exceptional values of meromorphic solutions of Painlevé III difference equations. In particular, let w be a transcendental meromorphic solution of ww(w-1) = η(w-λ) with finite order, where η (≠0), λ (≠0,1) are constants. If a, b are two Borel exceptional values of w, then a + b=1+≠) and ab = λ = ≠2. MSC: 30D35; 39A10
KW - Borel exceptional values
KW - Difference i
KW - Meromorphic solution
UR - https://www.scopus.com/pages/publications/84900466982
U2 - 10.1186/1687-1847-2014-144
DO - 10.1186/1687-1847-2014-144
M3 - 文章
AN - SCOPUS:84900466982
SN - 1687-1839
VL - 2014
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 144
ER -