- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 4 Issue: 3
- Determinantal forms and recursive relations of the Delannoy two-functional sequence
Determinantal forms and recursive relations of the Delannoy two-functional sequence
Authors : Feng Qİ, Muhammet Cihat DAĞLI, Wei-shih DU
Pages : 184-193
Doi:10.31197/atnaa.772734
View : 6 | Download : 3
Publication Date : 2020-08-31
Article Type : Research
Abstract :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. 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.Keywords : Delannoy two-functional sequence, Delannoy one-functional sequence, Delannoy number, central Delannoy number