Complex Narayana Quaternions

Çelemoğlu Ç.

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, cilt.64, sa.7, ss.1431-1442, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 7
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1134/s0965542524700738
  • Dergi Adı: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, ABI/INFORM, INSPEC, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1431-1442
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Here, we first introduce complex Narayana numbers. Then, we describe a new quaternion sequence whose coefficients consist of complex Narayana numbers and that we named with complex Narayana quaternions. We also give the generating function, exponential generating function, Binet formula, and summation formulas for these sequences. Finally, we obtain a matrix representation of complex Narayana quaternions and make an application related to the matrix representation of complex Narayana quaternions.