Very Hyperbolic Polynomials |
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Authors: | V. P. Kostov |
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Affiliation: | (1) Laboratoire de Mathematiques, Universite de Nice-Sophia Antipolis, France |
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Abstract: | A real polynomial in one variable is hyperbolic if it has only real roots. A function f is a primitive of order k of a function g if f (k) = g. A hyperbolic polynomial is very hyperbolic if it has hyperbolic primitives of all orders. In the paper, we prove a property of the domain of very hyperbolic polynomials and describe this domain in the case of degree 4. |
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Keywords: | hyperbolic polynomial very hyperbolic polynomial |
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