Value distribution of meromorphic solutions and their derivatives of complex differential equations (Q2449000)

Summary: We deal with the relationship between the small functions and the derivatives of solutions of higher-order linear differential equations \[ f^{(k)}+A_{k-1}f^{(k-1)}+\cdots +A_0 f = 0,\quad k\geq 2, \] where \(A_j(z)(j=0,1,\dots,k-1)\) are meromorphic functions. The theorems of this paper improve the previous results given by El Farissi, Belaïdi, Wang, Lu, Liu, and Zhang.