The Number of Zeros of a Polynomial in a Disk as a Consequence of Restrictions on the Coefficients
Document Type
Article
Publication Date
12-1-2015
Description
We put restrictions on the coefficients of polynomials and give bounds concerning the number of zeros in a specific region. The restrictions involve a monotonicity-type condition on the coefficients of the even powers of the variable and on the coefficients of the odd powers of the variable (treated separately). We present results by imposing the restrictions on the moduli of the coefficients, the real and imaginary parts of the coefficients, and the real parts (only) of the coefficients.
Citation Information
Gardner, Robert; and Shields, Brett. 2015. The Number of Zeros of a Polynomial in a Disk as a Consequence of Restrictions on the Coefficients. Acta et Commentationes Universitatis Tartuensis de Mathematica. Vol.19(2). 109-120. https://doi.org/10.12697/ACUTM.2015.19.10 ISSN: 1406-2283