On Hybrid Numbers with Gaussian Leonardo Coefficients

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Kara N., YILMAZ F.

Mathematics, cilt.11, sa.6, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 6
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/math11061551
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Binet formula, Cassini identity, generating function, Hessenberg matrix, hybrid Gaussian Leonardo, permanent
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid Gaussian Leonardo numbers and obtain some of their particular properties. Furthermore, we define (Formula presented.) Hessenberg matrices whose permanents yield the Leonardo and Gaussian Leonardo sequences.