Abstract
In this paper, we introduce the generalized hyperbolic Fibonacci numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Fibonacci and hyperbolic Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, GelinCesaro's, Melham's identities and present matrices related with these sequences.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.ESCI
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Language
English
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Article Type
None
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Keywords
Hyperbolic numbers Hyperbolic Fibonacci numbers Fibonacci numbers Lucas numbers Cassini identity