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On zeros of polynomials and allied functions satisfying second order differential equations

We shall give bounds on the spacing of zeros of certain functions belonging to the Laguerre-Polya class and satisfying a second order differential equation. As a corollary we establish new sharp inequalities on the extreme zeros of the Hermite, Laguerre and Jacobi polinomials, which are uniform in all the parameters.

preprint2002arXivOpen access
Ilia Krasikov
math-phmath.MPmath.CA
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Ilia Krasikov

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