Orders of Solutions of an n-th Order Linear Differential Equation with Entire Coefficients
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We study the solutions of the differential equation f(n) + An-1(z) ƒ(n-1) + ∙∙∙ + A1(z) ƒ' + A0(z) ƒ = 0, where the coefficients are entire functions. We find conditions on the coefficients so that every solution that is not identically zero has infinite order.
CitationBelaidi, B., & Hamouda, S. (2001). Orders of solutions of an n-th order linear differential equation with entire coefficients. Electronic Journal of Differential Equations, 2001(61), pp. 1-5.
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