Zeros of the Wronskian of a polynomial (Q1190578)
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scientific article; zbMATH DE number 55695
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zeros of the Wronskian of a polynomial |
scientific article; zbMATH DE number 55695 |
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Zeros of the Wronskian of a polynomial (English)
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26 September 1992
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The authors study the zeros of the polynomials \(p\) and \(W(p,p')\), where \(W(p,p')=pp''-p'{}^ 2\) (Wronskian of \(p,p'\)). A sample result: If \(d\) is the minimum distance between two consecutive zeros of \(p\), then the imaginary part of the zeros of \(W(p,p')\) cannot be less than \(\sqrt 3 d/4\). There are also references to problems where the Wronskian operator plays an important role.
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Wronski-determinant
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distribution of zeros
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algebraic differential operators
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