Relations between the small functions and the solutions of certain second-order differential equations
Abstract
In this paper, we investigate the relations between the small functions and the solutions, first, second derivatives, and differential polynomial of the solutions to the differential equation
ƒ″ + A1eP(z) ƒ′ + A(sub>0eQ(z) ƒ = 0,
where P(z) = αnzn + ⋅⋅⋅ + α0, Q(z) = bnzn + ⋅⋅⋅ + b0 are polynomials with degree n (n ≥ 1), αi, bi (i = 0, 1,..., n), αnbn ≠ 0 are complex constants, Aj(z) ≢ 0 (j = 0, 1) are entire functions with σ(Aj) < n.
Citation
Liu, H., & Mao, Z. (2007). Relations between the small functions and the solutions of certain second-order differential equations. Electronic Journal of Differential Equations, 2007(108), pp. 1-11.Rights License

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