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The Number of Zeros of a Polynomial in a Disk as a Consequence of Restrictions on the Coefficients

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.

Identiferoai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-16618
Date01 December 2015
CreatorsGardner, Robert, Shields, Brett
PublisherDigital Commons @ East Tennessee State University
Source SetsEast Tennessee State University
Detected LanguageEnglish
Typetext
SourceETSU Faculty Works

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