On the roots of Fibonacci polynomials-Reference-Cited by-同舟云学术

On the roots of Fibonacci polynomials

Published:2022 Issue:12 Volume:36 Page:4087-4097
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Birol Furkan¹,Koruoğlu Özden²

Affiliation:

1. İzmir Kâtip Çelebi University, Information Technologies Department, İzmir, Turkey

2. Balıkesir University, Department of Secondary Mathematics Education, Balıkesir, Turkey

Abstract

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.

Publisher

National Library of Serbia

Subject

General Mathematics

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