TY - JOUR
T1 - On Uniqueness of Meromorphic Solutions to Some Differential-Difference Equations
AU - Sui, Z.
AU - Zhang, J.
N1 - Publisher Copyright:
© Allerton Press, Inc. 2026.
PY - 2026/2
Y1 - 2026/2
N2 - Abstract: In this paper, we prove the uniqueness of finite-order transcendental meromorphic solutions of differential-difference Painlevé III and V equations: (Formula presented.) and (Formula presented.) where, and are small functions of solution. We show that if the solution shares,, and CM with another meromorphic function, then. Moreover, for Painlevé V equation, if is replaced by, it is sufficient for and to share the values and CM. MSC2020 numbers:30D35.
AB - Abstract: In this paper, we prove the uniqueness of finite-order transcendental meromorphic solutions of differential-difference Painlevé III and V equations: (Formula presented.) and (Formula presented.) where, and are small functions of solution. We show that if the solution shares,, and CM with another meromorphic function, then. Moreover, for Painlevé V equation, if is replaced by, it is sufficient for and to share the values and CM. MSC2020 numbers:30D35.
KW - Nevanlinna’s theory
KW - differential-difference equation
KW - meromorphic function
KW - uniqueness
UR - https://www.scopus.com/pages/publications/105033976461
U2 - 10.3103/S1068362325700232
DO - 10.3103/S1068362325700232
M3 - 文章
AN - SCOPUS:105033976461
SN - 1068-3623
VL - 61
SP - 61
EP - 72
JO - Journal of Contemporary Mathematical Analysis
JF - Journal of Contemporary Mathematical Analysis
IS - 1
ER -