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| Title: | On the Bihyperbolic k-Fibonacci Numbers | Authors: | Falcón, Sergio | UNESCO Clasification: | 12 Matemáticas | Keywords: | . K-Fibonacci Numbers Hiperbolic And Bihyperbolic Numbers Convolution Binet Catalan And D'Ocagne Identities, et al |
Issue Date: | 2024 | Journal: | Communications In Mathematics And Applications | Abstract: | 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. | URI: | https://accedacris.ulpgc.es/handle/10553/136241 | ISSN: | 0976-5905 | DOI: | 10.26713/cma.v15i2.2592 | Source: | Communications In Mathematics And Applications[ISSN 0976-5905],v. 15 (2), p. 525-532, (2024) |
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