On the iterated order and the fixed points of entire solutions of some complex linear differential equations

On the meromorphic solutions of linear differential equations on the complex plane

“…We also obtain some results of fixed points of meromorphic solutions of Eqs. (1) and (2), in which Theorem 2.6 improves and extends the results of fixed points in paper [1].…”

“…Many papers [1,7,24,25,21,2] have investigated the problems on the fixed points of solutions of linear differential equations. We also obtain some results of fixed points of meromorphic solutions of Eqs.…”

“…We point out that the condition i( A s ) = p (0 < p < ∞) was missing in [1]. In the above papers [11,18,1], Eq. (2) is also investigated.…”

“…We refer to [19] for the literature on the growth of entire solutions of (1) and (2). Recently the solutions of the complex differential equations have been investigated actively [1,2,[4][5][6]12,26,23,20,25,21]. In [10], Z.-X.…”

Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order

“…Throughout this paper, we use to denote a positive integer. In the following, we recall some definitions of entire functions or meromorphic functions of finite iterated order (see [4][5][6][7][8][9][10]). for transcendental for which some ∈ N with ( ) < ∞ exists, ∞ or ( ) with ( ) = ∞ ∀ ∈ N.…”