Preprint Article Version 1 This version is not peer-reviewed

Closed Expressions of the Fibonacci Polynomials in Terms of Tridiagonal Determinants

Version 1 : Received: 27 March 2017 / Approved: 28 March 2017 / Online: 28 March 2017 (03:11:06 CEST)

How to cite: Qi, F.; Wang, J.; Guo, B. Closed Expressions of the Fibonacci Polynomials in Terms of Tridiagonal Determinants. Preprints 2017, 2017030208 (doi: 10.20944/preprints201703.0208.v1). Qi, F.; Wang, J.; Guo, B. Closed Expressions of the Fibonacci Polynomials in Terms of Tridiagonal Determinants. Preprints 2017, 2017030208 (doi: 10.20944/preprints201703.0208.v1).

Abstract

In the paper, the authors nd a new closed expression for the Fibonacci polynomials and, consequently, for the Fibonacci numbers, in terms of a tridiagonal determinant.

Subject Areas

closed expression; Fibonacci number; Fibonacci polynomial; tridiagonal determinant; Hessenberg determinant

Comments (1)

Comment 1
Received: 18 March 2019
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the first and corresponding author
Comment: Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant, Bulletin of the Iranian Mathematical Society 45 (2019), in press; Available online at https://doi.org/10.1007/s41980-019-00232-4
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