On dual hyperbolic numbers with generalized Jacobsthal numbers components
Indian Journal of Pure and Applied Mathematics, cilt.54, sa.3, ss.824-840, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 54 Sayı: 3
- Basım Tarihi: 2023
- Doi Numarası: 10.1007/s13226-022-00301-1
- Dergi Adı: Indian Journal of Pure and Applied Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
- Sayfa Sayıları: ss.824-840
- Anahtar Kelimeler: Jacobsthal numbers, Jacobsthal-Lucas numbers, Dual hyperbolic numbers, Dual hyperbolic Jacobsthal numbers, Cassini identity
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we introduce the generalized dual hyperbolic Jacobsthal numbers. As special cases, we deal with dual hyperbolic Jacobsthal and dual hyperbolic Jacobsthal-Lucas numbers. We present Binet’s formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan’s, Cassini’s, d’Ocagne’s, Gelin-Cesàro’s, Melham’s identities and present matrices related with these sequences.