Abstract
We consider the equation \({u''=P(z)u\;\;(z\in\mathbb{C})}\) where P(z) is a polynomial. Let z k (u), k = 1, 2,... be the zeros of a solution u(z) to that equation. Bounds for the sums
are established. Some applications of these bounds are also considered.
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Gil’, M.I. Bounds for Zeros of Solutions of Second Order Differential Equations with Polynomial Coefficients. Results. Math. 59, 115–124 (2011). https://doi.org/10.1007/s00025-010-0065-x
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DOI: https://doi.org/10.1007/s00025-010-0065-x