Zero-diminishing linear transformations-Reference-Cited by-同舟云学术

Zero-diminishing linear transformations

Published:1980 Issue:4 Volume:80 Page:544-546
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Craven Thomas,Csordas George

Abstract

This paper solves an open problem of Karlin. We consider linear transformations defined on the set of all polynomials with real coefficients and give a complete characterization of the transformations with the property that they maintain or reduce the number of real zeros of each polynomial.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-080-04/S0002-9939-1980-0587923-5/S0002-9939-1980-0587923-5.pdf

Reference11 articles.

1. Über lineare, verschiebungstreue Funktionaloperationen und die Nullstellen ganzer Funktionen;Benz, Eduard;Comment. Math. Helv.,1934

2. On the number of real roots of polynomials;Craven, Thomas;Pacific J. Math.,1982

3. The zeros of certain composite polynomials;Marden, Morris;Bull. Amer. Math. Soc.,1943

4. Mathematical Surveys, No. 3;Marden, Morris,1966

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