Determinantal forms and recursive relations of the delannoy two-functional sequence

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Qİ F., DAĞLI M. C., Du W.

Advances in the Theory of Nonlinear Analysis and its Applications, cilt.4, sa.3, ss.184-193, 2020 (Scopus) identifier

  • 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
  • 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.