TITLE:
On the Meromorphic Solutions of Fermat-Type Differential Equations
AUTHORS:
Dengfeng Liu, Biao Pan
KEYWORDS:
Fermat-Type Equations, Differential Equations, Nevanlinna Theory
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.9,
September
30,
2022
ABSTRACT: In this paper, we investigate the meromorphic solutions of the Fermat-type differential equations f’(z)n + f(z+c)m = eAz+B (c ≠ 0) over the complex plane C for positive integers m, n, and A, B, c are constants. Our results improve and extend some earlier results given by Liu et al. Moreover, some examples are presented to show the preciseness of our results.