On zeros of polynomials and allied functions satisfying second order differential equations
نویسنده
چکیده
We shall give bounds on the spacing of zeros of certain functions belonging to the LaguerrePólya class and satisfying a second order linear differential equation. As a corollary we establish new sharp inequalities on the extreme zeros of the Hermite, Laguerre and Jacobi polynomials, which are uniform in all the parameters.
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تاریخ انتشار 2002