On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers

In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. We obtain the Binet formulas, generating functions, exponential generating functions and summation formulas of k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. Also, we give Catalan, Cassini and d'Ocagne ident...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of discrete mathematical sciences & cryptography Jg. 24; H. 4; S. 1063 - 1074
1. Verfasser: Kilic, Nayil
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Taylor & Francis 19.05.2021
Schlagworte:
Fibonacci and Lucas numbers and polynomials and generalizations
Generating functions
Recurrences
ISSN:0972-0529, 2169-0065
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. We obtain the Binet formulas, generating functions, exponential generating functions and summation formulas of k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. Also, we give Catalan, Cassini and d'Ocagne identities of these hybrid numbers. Finally, we introduce the matrix generators for k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers.
ISSN:0972-0529
2169-0065
DOI:10.1080/09720529.2021.1873253