Determinantal forms and recursive relations of the delannoy two-functional sequence
Advances in the Theory of Nonlinear Analysis and its Applications, vol.4, no.3, pp.184-193, 2020 (Scopus)
- Publication Type: Article / Article
- Volume: 4 Issue: 3
- Publication Date: 2020
- Doi Number: 10.31197/atnaa.772734
- Journal Name: Advances in the Theory of Nonlinear Analysis and its Applications
- Journal Indexes: Scopus
- Page Numbers: pp.184-193
- Keywords: Central Delannoy number, Closed form, Delannoy number, Delannoy one-functional sequence, Delannoy two-functional sequence, Difference, Hessenberg determinant, Recursive relation
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
© 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.