Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

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Journal of Advanced Research in Natural and Applied Sciences
Volume:9 Issue:1
Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

Pages : 183-189

View : 17 | Download : 8

Publication Date : 2023-03-06

Article Type : Research Paper

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.
Keywords : biHyperbolic, Gaussian bihyperbolic, Gaussian bihyperbolic Pell, Gaussian bihyperbolic Pell Lucas

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