Result: On the Bihyperbolic \(k\)-Fibonacci Numbers

Title:
On the Bihyperbolic \(k\)-Fibonacci Numbers
Authors:
Sergio Falcón
Contributors:
BU-INF
Source:
Communications In Mathematics And Applications[ISSN 0976-5905],v. 15 (2), p. 525-532, (2024)
accedaCRIS portal de investigación de la Universidad de las Palmas de Gran Canaria
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Publisher Information:
RGN Publications, 2024.
Publication Year:
2024
Subject Terms:
K-Fibonacci Numbers, Generating Function, 12 Matemáticas, Catalan And D'Ocagne Identities, Binet, Hiperbolic And Bihyperbolic Numbers, Convolution
Document Type:
Academic journal Article
ISSN:
0975-8607
0976-5905
DOI:
10.26713/cma.v15i2.2592
Access URL:
http://hdl.handle.net/10553/136241
Accession Number:
edsair.doi.dedup.....448461474659cb35e82ae9bf828fc989
Database:
OpenAIRE

Further Information

In this paper, we extend the concept of bihyperbolic numbers to the k-Fibonacci numbers. We will find the main formulas that affect these numbers, such as the recurrence formulas and the sum of the first n terms, as well as the identities of Binet, Catalan and d'Ocagne. We finish the study by finding the generating function of the bihyperbolic k-Fibonacci numbers.
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