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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 3, Pages 80–84
DOI: https://doi.org/10.4213/faa77 (Mi faa77) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Very Hyperbolic Polynomials

V. P. Kostov

Université de Nice Sophia Antipolis
Full-text PDF (205 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa77
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 $4$.
Keywords: hyperbolic polynomial, very hyperbolic polynomial.
Received: 22.10.2003
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 3, Pages 229–232
DOI: https://doi.org/10.1007/s10688-005-0042-4
Bibliographic databases:
Document Type: Article
UDC: 512.622
Language: Russian
Citation: V. P. Kostov, “Very Hyperbolic Polynomials”, Funktsional. Anal. i Prilozhen., 39:3 (2005), 80–84; Funct. Anal. Appl., 39:3 (2005), 229–232
Citation in format AMSBIB
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\pages 80--84
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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