On the zeros of R-Bonacci polynomials and their derivatives
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Date
2022
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Ankara Üniversitesi
Abstract
The purpose of the present paper is to examine the zeros of R-Bonacci polynomials and their derivatives. We obtain new characterizations for the zeros of these polynomials. Our results generalize the ones obtained for the special case r=2. Furthermore, we find explicit formulas of the roots of derivatives of R-Bonacci polynomials in some special cases. Our formulas are substantially simple and useful.
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Keywords
R -Bonacci polynomial, symmetric polynomial, complex polynomial, complex zeros