The goal of this paper is to obtain some comparison inequalities for a linear operator between polynomials in the plane. The polynomials under study have constraints on their zeros and the estimates ...

Dr Bahman Kalantari discusses a piece of software that he has developed through his research into polynomial root-finding. With this software, users can explore the world of polynomials and their ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

A method which finds simultaneously all the zeros of a polynomial, developed by H. Rutishauser, has been tested on a number of polynomials with real coefficients. This slowly converging method (the ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2017. Edited by Kenneth A. Ribet, University of California, Berkeley, CA ...

NORTH ANDOVER — After four years of research, two culture sleuths have unearthed the North Andover site where North America’s first published poet, Anne Bradstreet, and her family lived and were left ...

ABSTRACT: Let be a polynomial of degree n and for a complex number , let denote the polar derivative of the polynomial with respect to . In this paper, first we extend as well as generalize the result ...

We survey certain transformations of the set πn[x] of n-th degree polynomials into themselves. These transformations share the property that polynomials with all their zeros in a certain real interval ...