Nonlinear variants of the generalized Filbert and Lilbert matrices

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Kilic E., KOPARAL S., ÖMÜR N.

TURKISH JOURNAL OF MATHEMATICS, cilt.44, sa.3, ss.622-642, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1909-62
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.622-642
  • Anahtar Kelimeler: Filbert and Lilbert matrices, inverse matrix determinant, generalized Pochhammer symbol, Fibonacci and Lucas numbers, DETERMINANT
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

In this paper, we present variants of the generalized Filbert and Lilbert matrices by products of the general Fibonacci and Lucas numbers whose indices are in certain nonlinear forms of the indices with certain integer parameters. We derive explicit formula; for inverse matrix, LU-decomposition and inverse matrices L-1 and U-1 for all matrices. Generally, we present q-versions of these matrices and their related results.