In:
Notes on Number Theory and Discrete Mathematics, Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences), Vol. 28, No. 4 ( 2022-12-15), p. 593-602
Abstract:
In this article, we generalize the well-known Gauss Pell numbers and refer to them as generalized Gauss k-Pell numbers. There are relationships discovered between the class of generalized Gauss k-Pell numbers and the typical Gauss Pell numbers. Also, we generalize the known Gauss Pell polynomials, and call such polynomials as the generalized Gauss k-Pell polynomials. We obtain relations between the class of the generalized Gauss k-Pell polynomials and the typical Gauss Pell polynomials. Furthermore, we provide matrices for the novel generalizations of these numbers and polynomials. After that, we obtain Cassini’s identities for these numbers and polynomials.
Type of Medium:
Online Resource
ISSN:
1310-5132
,
2367-8275
DOI:
10.7546/nntdm.2022.28.4
DOI:
10.7546/nntdm.2022.28.4.593-602
Language:
Unknown
Publisher:
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Publication Date:
2022
detail.hit.zdb_id:
2864739-7
SSG:
17,1