Bounds for Zeros of Solutions of Second Order Differential Equations with Polynomial Coefficients |
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| Authors: | M I Gil?? |
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| Institution: | 1. Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, 84105, Beer-Sheva, Israel
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| 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 $$\sum_{k=1}^{j} \frac {1} {|z_k(u)|}(j=1, 2, \ldots)$$ are established. Some applications of these bounds are also considered. |
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