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Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers
2023
Journal:  
Journal of Advanced Research in Natural and Applied Sciences
Author:  
DOI:  
10.28979/jarnas.1110421
Abstract:

In this study, we define a new type of Pell and Pell-Lucas numbers which are called Gaussian-bihyperbolic Pell and Pell-Lucas numbers. We also define negaGaussian-bihyperbolic Pell and Pell-Lucas numbers. Moreover, we obtain Binet’s formulas, generating function formulas, d’Ocagne’s identities, Catalan’s identities, Cassini’s identities and some sum formulas for these new type numbers and we investigate some algebraic proporties of these. Furthermore, we give the matrix representation of Gaussian-bihyperbolic Pell and Pell-Lucas numbers.

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2023
Journal:  
Journal of Advanced Research in Natural and Applied Sciences
Author:  
DOI:  
10.28979/jarnas.1110421
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Journal of Advanced Research in Natural and Applied Sciences

Journal Type :   Uluslararası

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Article : 317
Cite : 392
2023 Impact : 0.275
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Journal of Advanced Research in Natural and Applied Sciences