Affiliation:
1. Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, 84105 Be’er-Sheva, Israel
Abstract
We consider the equationu″=P(z)u+F(z) (z∈C), whereP(z)is a polynomial andF(z)is an entire function. Letzk(u) (k=1,2,…)be the zeros of a solutionu(z)to that equation. Lower estimates for the products∏k=1j|zk(u)| (j=1,2,…)are derived. In particular, they give us a bound for the zero free domain. Applications of the obtained estimates to the counting function of the zeros of solutions are also discussed.
Subject
Applied Mathematics,Analysis
Cited by
3 articles.
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