Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 4

On the zeros of R-Bonacci polynomials and their derivatives

Sayfa
978–992
Yayın Tarihi
2022-12-30
DOI
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Our formulas are substantially simple and useful.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The purpose of the present paper is to examine the zeros of R-Bonacci polynomials and their derivatives.
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Temel Bulgular & Veri:Our results generalize the ones obtained for the special case r=2.
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Sonuç & Katkı:Our formulas are substantially simple and useful.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$R$-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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Bu Makaleye Atıf Yap

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, Cilt: 71 - Sayı: 4, 978–992. https://ajindex.com/articles/867581

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Kaynakça (20)

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