Extended Laguerre Inequalities and a Criterion for Real Zeros

نویسنده

  • DAVID A. CARDON
چکیده

Let f(z) = e−bz 2 f1(z) where b ≥ 0 and f1(z) is a real entire function of genus 0 or 1. We give a necessary and sufficient condition in terms of a sequence of inequalities for all of the zeros of f(z) to be real. These inequalities are an extension of the classical Laguerre inequalities.

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تاریخ انتشار 2009