On a new family of the generalized Gaussian k-Pell-Lucas numbers and their polynomials

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:72 Issue:2
On a new family of the generalized Gaussian k-Pell-Lucas numbers and their polynomials

On a new family of the generalized Gaussian k-Pell-Lucas numbers and their polynomials

Authors : Hayrullah ÖZİMAMOĞLU, Ahmet KAYA

Pages : 407-416

Doi:10.31801/cfsuasmas.1138441

View : 45 | Download : 71

Publication Date : 2023-06-23

Article Type : Research Paper

Abstract :In this paper, we generalize the known Gaussian Pell-Lucas numbers, and call such numbers as the generalized Gaussian k-Pell-Lucas numbers. We obtain relations between the family of the generalized Gaussian k-Pell-Lucas numbers and the known Gaussian Pell-Lucas numbers. We generalize the known Gaussian Pell-Lucas polynomials, and call such polynomials as the generalized Gaussian k-Pell-Lucas polynomials. We obtain relations between the family of the generalized Gaussian k-Pell-Lucas polynomials and the known Gaussian Pell-Lucas polynomials. In addition, we present the new generalizations of these numbers and polynomials in matrix form. Then, we get Cassini’s identities for these numbers and polynomials.
Keywords : Gaussian Pell Lucas numbers, Gaussian Pell Lucas polynomials, Cassinis identity

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.