On the Growth of Solutions of Some Second Order Linear Differential Equations With Entire Coefficients
نویسندگان
چکیده
In this paper, we investigate the order and the hyper-order of growth of solutions of the linear differential equation f ′′ +Q ( e ) f ′ + (A1e a1z +A2e 2) f = 0, where n > 2 is an integer, Aj (z) ( 6≡ 0) (j = 1, 2) are entire functions with max {σ (Aj) : j = 1, 2} < 1, Q (z) = qmz + · · · + q1z + q0 is a nonconstant polynomial and a1, a2 are complex numbers. Under some conditions, we prove that every solution f (z) 6≡ 0 of the above equation is of infinite order and hyper-order 1.
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