In this article, we discuss the order and hyper-order of the lineardifferential equationf(k)+k−1Xj=1(Bjebjz+Djedjz)f(j)+ (A1ea1z+A2ea2z)f= 0,whereAj(z),Bj(z),Dj(z) are entire functions (6≡0) anda1,a2,djare complexnumbers ...

In this paper, we investigate the growth of solutions to the non-homogeneous linear di erential equation f(k) + Ak􀀀1ebk􀀀1zf(k􀀀1) + + A1eb1zf 0 + A0eb0zf = Feaz; where Aj(z) 6 0 (j = 0; 1; : : : ; k 􀀀 1), ...

In this paper, we investigate the order of solutions to the non-homogeneous linear differential equation f (k) + Bk−1 f (k−1) + · · · + Bl f (l) + · · · + B1 f + B0 f = F, where k 2, Bj (z) j = 0, 1, . . . , k ...