Determinantal forms and recursive relations of the delannoy two-functional sequence
Advances in the Theory of Nonlinear Analysis and its Applications, cilt.4, sa.3, ss.184-193, 2020 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 4 Sayı: 3
- Basım Tarihi: 2020
- Doi Numarası: 10.31197/atnaa.772734
- Dergi Adı: Advances in the Theory of Nonlinear Analysis and its Applications
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.184-193
- Anahtar Kelimeler: Central Delannoy number, Closed form, Delannoy number, Delannoy one-functional sequence, Delannoy two-functional sequence, Difference, Hessenberg determinant, Recursive relation
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Akdeniz Üniversitesi Adresli: Evet
Özet
© 2020, Erdal Karapinar. All rights reserved.In the paper, the authors establish closed forms for the Delannoy two-functional sequence and its difference in terms of the Hessenberg determinants, derive recursive relations for the Delannoy two-functional sequence and its difference, and deduce closed forms in terms of the Hessenberg determinants and recursive relations for the Delannoy one-functional sequence, the Delannoy numbers, and central Delannoy numbers.