The generating matrices of the bivariate Balancing and Lucas-Balancing polynomials

Nazmiye Yılmaz

doi:10.17714/gumusfenbil.841087

TR EN

The generating matrices of the bivariate Balancing and Lucas-Balancing polynomials

Abstract

The objective of this paper is to express the bivariate Balancing and Lucas-Balancing polynomials in terms of determinants of tridiagonal matrices. In addition, we obtained the inverses of the tridiagonal matrices. We finalized the general results to construct families of the tridiagonal matrices whose determinants generate arbitrary linear subsequence with positive and negative indices of the bivariate Balancing and Lucas-Balancing polynomials.

Keywords

Balancing polynomials , Determinant , Inverse of matrix , Lucas-Balancing polynomials , Tridiagonal matrix

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Nazmiye Yılmaz ^*
0000-0002-7302-2281
Türkiye

Yayımlanma Tarihi

15 Temmuz 2021

Gönderilme Tarihi

15 Aralık 2020

Kabul Tarihi

3 Mayıs 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 11 Sayı: 3

DOI

https://doi.org/10.17714/gumusfenbil.841087

IZ

https://izlik.org/JA65LH59GM

APA

Yılmaz, N. (2021). The generating matrices of the bivariate Balancing and Lucas-Balancing polynomials. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 11(3), 761-767. https://doi.org/10.17714/gumusfenbil.841087

e-ISSN: 2146-538X Yayın Modeli: Sürekli Yayın Atıf Dizinleri: TR Dizin , SCOPUS

The generating matrices of the bivariate Balancing and Lucas-Balancing polynomials

İki değişkenli Balans ve Lucas-Balans polinomlarının üreteç matrisleri

Öz

Anahtar Kelimeler

The generating matrices of the bivariate Balancing and Lucas-Balancing polynomials

Abstract

Keywords

Kaynakça

Ayrıntılar

Birincil Dil

Konular

Bölüm

Yazarlar

Yayımlanma Tarihi

Gönderilme Tarihi

Kabul Tarihi

Yayımlandığı Sayı

DOI

IZ

Kaynak Göster