- Journal of Advanced Research in Natural and Applied Sciences
- Vol: 9 Issue: 1
- Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers
Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers
Authors : Hasan Gökbaş
Pages : 183-189
Doi:10.28979/jarnas.1110421
View : 8 | Download : 3
Publication Date : 2023-03-06
Article Type : Research
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