Publication:
Determinants containing powers of generalized fibonacci numbers

8

Issued Date

2016-01-01

Resource Type

Article

ISSN

15307638

Other identifier(s)

2-s2.0-84995554165

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Journal of Integer Sequences. Vol.19, No.7 (2016)

Suggested Citation

Aram Tangboonduangjit, Thotsaporn Thanatipanonda Determinants containing powers of generalized fibonacci numbers. Journal of Integer Sequences. Vol.19, No.7 (2016). Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/40961

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Title

Determinants containing powers of generalized fibonacci numbers

Author(s)

Aram Tangboonduangjit
 Thotsaporn Thanatipanonda

Other Contributor(s)

Mahidol University

Abstract

© 2016, University of Waterloo. All rights reserved. We study the determinants of matrices whose entries are powers of the Fibonacci numbers. We then extend the results to include entries that are powers of a secondorder linear recurrence relation. These results motivate a fundamental identity of determinants whose entries are powers of linear polynomials. Finally, we discuss the determinants of matrices whose entries are products of the general second-order linear recurrence relations.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/40961

Collections

Scopus 2016-2017