Relations between the small functions and the solutions of certain second-order differential equations
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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(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.
CitationLiu, 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.
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