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

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

2002-11-12

arxiv.org/abs/math/0211190v1

Mathematics

Classical Analysis and ODEs

12 pages

Scientific paper

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.

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