Abstract
In this paper, we introduce the generalized hyperbolic Pell numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Pell and hyperbolic Pell-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, Gelin-Cesaro's, Melham's identities and present matrices related to 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
Pell numbers Pell-Lucas numbers Hyperbolic numbers Hyperbolic Pell numbers Cassini identity