On some combinatorial properties of bihyperbolic numbers of the Fibonacci type

On some combinatorial properties of bihyperbolic numbers of the Fibonacci type

In this paper, we give some properties of the bihyperbolic Fibonacci, Jacobsthal and Pell numbers, among others the Binet formula, Catalan, Cassini, and d'Ocagne identities. Moreover, we present the generating function and summation formulas for these numbers.

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Veröffentlicht in:Mathematical methods in the applied sciences 2021-04, Vol.44 (6), p.4607-4615
Hauptverfasser: Bród, Dorota, Szynal‐Liana, Anetta, Włoch, Iwona
Format: Artikel
Sprache:eng
Schlagworte:
bihyperbolic numbers
Binet formula
Combinatorial analysis
Fibonacci numbers
hyperbolic numbers
Jacobsthal numbers
Pell numbers
recurrence relations
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Zusammenfassung:In this paper, we give some properties of the bihyperbolic Fibonacci, Jacobsthal and Pell numbers, among others the Binet formula, Catalan, Cassini, and d'Ocagne identities. Moreover, we present the generating function and summation formulas for these numbers.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7054