Geodesic
On the roots of Fibonacci polynomials
Filomat, Tome 36 (2022) no. 12, p. 4087

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we investigate Fibonacci polynomials as complex hyperbolic functions. We examine the roots of these polynomials. Also, we give some exciting identities about images of the roots of Fibonacci polynomials under another member of the Fibonacci polynomials class. Finally, we obtain some excellent relationships between the roots of Fibonacci polynomials and the modular group, Hecke groups and generalized Hecke groups with geometric interpretations.
DOI : 10.2298/FIL2212087B
Classification : 11B39, 65H04, 11F06, 20H10
Keywords: Fibonacci polynomials, roots of polynomial equations, the modular group, Hecke groups 
Furkan Birol; Özden Koruoğlu. On the roots of Fibonacci polynomials. Filomat, Tome 36 (2022) no. 12, p. 4087 . doi: 10.2298/FIL2212087B
@article{10_2298_FIL2212087B,
     author = {Furkan Birol and \"Ozden Koruo\u{g}lu},
     title = {On the roots of {Fibonacci} polynomials},
     journal = {Filomat},
     pages = {4087 },
     year = {2022},
     volume = {36},
     number = {12},
     doi = {10.2298/FIL2212087B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212087B/}
}
TY  - JOUR
AU  - Furkan Birol
AU  - Özden Koruoğlu
TI  - On the roots of Fibonacci polynomials
JO  - Filomat
PY  - 2022
SP  - 4087 
VL  - 36
IS  - 12
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2212087B/
DO  - 10.2298/FIL2212087B
LA  - en
ID  - 10_2298_FIL2212087B
ER  - 
%0 Journal Article
%A Furkan Birol
%A Özden Koruoğlu
%T On the roots of Fibonacci polynomials
%J Filomat
%D 2022
%P 4087 
%V 36
%N 12
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2212087B/
%R 10.2298/FIL2212087B
%G en
%F 10_2298_FIL2212087B

Cité par Sources :