Factorizations and representations of the backward second-order linear recurrences

Kilic, Emrah; Tasci, DURSUN

doi:10.1016/j.cam.2006.02.012

Factorizations and representations of the backward second-order linear recurrences

Kilic E., Tasci D.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.201, sa.1, ss.182-197, 2007 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 201 Sayı: 1
Basım Tarihi: 2007
Doi Numarası: 10.1016/j.cam.2006.02.012
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.182-197
Gazi Üniversitesi Adresli: Evet

Özet

We show the relationships between the determinants and permanents of certain tridiagonal matrices and the negatively subscripted terms of second-order linear recurrences. Also considering how to the negatively subscripted terms of second-order linear recurrences can be connected to Chebyshev polynomials by determinants of these matrices, we give factorizations and representations of these numbers. (c) 2006 Elsevier B.V. All rights reserved.