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, 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.