TY  - JOUR
T1  - On the zeros of R-Bonacci polynomials and their derivatives
AU  - Özgür, Nihal
AU  - Öztunç Kaymak, Öznur
PY  - 2022
DA  - December
Y2  - 2022
DO  - 10.31801/cfsuasmas.1037229
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 978
EP  - 992
VL  - 71
IS  - 4
LA  - en
AB  - The purpose of the present paper is to examine the zeros of R-Bonacci polynomials and their derivatives. We obtain new characterizations for thezeros of these polynomials. Our results generalize the ones obtained for the special case r=2. Furthermore, we find explicit formulas of the roots ofderivatives of R-Bonacci polynomials in some special cases. Our formulas are substantially simple and useful.
KW  - $R$-Bonacci polynomial
KW  - symmetric polynomial
KW  - complex polynomial
KW  - complex zeros
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UR  - https://doi.org/10.31801/cfsuasmas.1037229
L1  - https://dergipark.org.tr/en/download/article-file/2134642
ER  -