A new recursive formula arising from a determinantal expression for weighted Delannoy numbers

DAĞLI, MUHAMMET

doi:10.3906/mat-2009-92

A new recursive formula arising from a determinantal expression for weighted Delannoy numbers

DAĞLI M. C.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.1, ss.471-478, 2021 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 45 Sayı: 1
Basım Tarihi: 2021
Doi Numarası: 10.3906/mat-2009-92
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.471-478
Anahtar Kelimeler: Delannoy number, central Delannoy number, determinantal expression, recurrence relation, FIBONACCI, POLYNOMIALS, TERMS
Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we obtain a determinantal expression for weighted Delannoy numbers, from which we give a new recurrence relation for it. For the special case of our formula, we compute central weighted Delannoy number in terms of weighted Delannoy number.