On Conjectures of A. Eremenko and A. Gabrielov

arxiv: 1201.3589 · v1 · pith:NG5WMFI4new · submitted 2012-01-17 · 🧮 math.QA · math-ph· math.CA· math.MP

On Conjectures of A. Eremenko and A. Gabrielov

E. Mukhin , V. Tarasov This is my paper

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keywords eremenkogabrielovconjectureconjecturesdifferentialequationformpolynomials

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We study polynomials p(x) satisfying a differential equation of the form p"(x)-h'(x)p'(x)+H(x)p(x)=0, where h(x)=x^3/3+ax. We prove a conjecture of A. Eremenko and A. Gabrielov.

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On Conjectures of A. Eremenko and A. Gabrielov

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