Bounds for Products of Zeros of Solutions to Nonhomogeneous ODE with Polynomial Coefficients

Michael Gil’

International Journal of Differential Equations, 2015, vol. 2015, 1-6

Abstract:

We consider the equation , where is a polynomial and is an entire function. Let be the zeros of a solution to that equation. Lower estimates for the products are derived. In particular, they give us a bound for the zero free domain. Applications of the obtained estimates to the counting function of the zeros of solutions are also discussed.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:690519

DOI: 10.1155/2015/690519

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