On the zeros of R-Bonacci polynomials and their derivatives

Authors : Öznur ÖZTUNÇ KAYMAK, Nihal ÖZGÜR

Pages : 978-992

Doi:10.31801/cfsuasmas.1037229

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Publication Date : 2022-12-30

Article Type : Research Paper

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