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On Second Order Linear Differential Polynomials

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Abstract

We classify all functions φ(z) meromorphic in R ⩽ ¦z¦ < ∞ such that ϕ(z) Φ(z) has no zeros there, where Φ = (z)′’ + a1(z) ϕ′(z) + a0(z) ϕ(z) and a0(z), a1(z) are rational at infinity.

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Langley, J.K. On Second Order Linear Differential Polynomials. Results. Math. 26, 51–82 (1994). https://doi.org/10.1007/BF03322288

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