Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

Hasan Gökbaş

Article Details

Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

Authors:

Hasan Gökbaş

Publisher:

Çanakkale Onsekiz Mart University

Journal:

Journal of Advanced Research in Natural and Applied Sciences Vol.9 Issue 1, pp.183-189

Document Type:

Article

Publication Date:

6/2023

Document Language:

English

Document ID (Org No.):

2001284620

pISSN:

2757-5195

Keywords:

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 Binets formulas, generating function formulas, dOcagnes identities, Catalans identities, Cassinis 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.

 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 Binets formulas, generating function formulas, dOcagnes identities, Catalans identities, Cassinis 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.

 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 Binets formulas, generating function formulas, dOcagnes identities, Catalans identities, Cassinis 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.

 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 Binets formulas, generating function formulas, dOcagnes identities, Catalans identities, Cassinis 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.

Article Details

Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

Authors:

Hasan Gökbaş

Publisher:

Çanakkale Onsekiz Mart University

Journal:

Journal of Advanced Research in Natural and Applied Sciences Vol.9 Issue 1, pp.183-189

Document Type:

Article

Publication Date:

6/2023

Document Language:

English

Document ID (Org No.):

2001284620

pISSN:

2757-5195

biHyperbolic

Gaussian-bihyperbolic

Gaussian-bihyperbolic Pell

Gaussian-bihyperbolic Pell-Lucas

Issues

Article Details

Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

Authors: Hasan Gökbaş

Publisher: Çanakkale Onsekiz Mart University

Journal: Journal of Advanced Research in Natural and Applied Sciences Vol.9 Issue 1, pp.183-189

Document Type: Article

Publication Date: 6/2023

Document Language: English

Document ID (Org No.): 2001284620

pISSN: 2757-5195

biHyperbolic

Gaussian-bihyperbolic

Gaussian-bihyperbolic Pell

Gaussian-bihyperbolic Pell-Lucas

Issues

Authors:

Hasan Gökbaş

Publisher:

Çanakkale Onsekiz Mart University

Journal:

Journal of Advanced Research in Natural and Applied Sciences Vol.9 Issue 1, pp.183-189

Document Type:

Article

Publication Date:

6/2023

Document Language:

English

Document ID (Org No.):

2001284620

pISSN:

2757-5195