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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Volume: 71 Issue: 4

On the zeros of R-Bonacci polynomials and their derivatives

Öznur Öztunç Kaymak(BALIKESIR UNIVERSITY)0000-0003-3832-9947
Nihal Özgür(BALIKESIR UNIVERSITY)0000-0002-8152-1830
Pages
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Publication Date
2022-12-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our formulas are substantially simple and useful.

📌 3 Key Takeaways

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Objective & Hypothesis:The purpose of the present paper is to examine the zeros of R-Bonacci polynomials and their derivatives.
📊
Key Findings & Data:Our results generalize the ones obtained for the special case r=2.
💡
Conclusion & Impact:Our formulas are substantially simple and useful.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$R$-Bonacci polynomial · symmetric polynomial · complex polynomial

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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Cite This Article

Kaymak, Ö. Ö., Özgür, N. (2022). On the zeros of R-Bonacci polynomials and their derivatives. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 4. https://doi.org/10.31801/cfsuasmas.1037229

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