On the zeros of R-Bonacci polynomials and their derivatives

Year 2022, Volume: 71 Issue: 4, 978 - 992, 30.12.2022

Öznur Öztunç Kaymak , Nihal Özgür

https://doi.org/10.31801/cfsuasmas.1037229

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.

Keywords

$R$-Bonacci polynomial, symmetric polynomial, complex polynomial, complex zeros

Supporting Institution

Balıkesir Üniversitesi

Project Number

Mat.BAP.2013.0001

Thanks

This work is supported by the Scientific Research Projects Unit of Balıkesir University under the project number Mat.BAP.2013.0001.

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