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- W2912262202 abstract "Every linear, quadratic or cubic polynomial having all real zeros is the derivative of a polynomial having all real zeros. The statement is false for higher degree polynomials. In particular, not every fourth degree polynomial with real zeros is the derivative of a polynomial having all real zeros. We derive a necessary and sufficient condition for a quartic polynomial to be the derivative of a polynomial having all real zeros. This condition is a single quadratic form inequality involving the zeros of the quartic polynomial." @default.
- W2912262202 created "2019-02-21" @default.
- W2912262202 creator A5085126389 @default.
- W2912262202 date "2019-01-01" @default.
- W2912262202 modified "2023-09-28" @default.
- W2912262202 title "Which Quartic Polynomials Have a Hyperbolic Antiderivative?" @default.
- W2912262202 cites W2113848637 @default.
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- W2912262202 doi "https://doi.org/10.1007/978-3-030-14640-5_9" @default.
- W2912262202 hasPublicationYear "2019" @default.
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