The Generalized Binomial Transform of the Bivariate Fibonacci and Lucas $p$-Polynomials
The generalized binomial transforms of the bivariate Fibonacci $p-$polynomials and Lucas $p-$polynomials are introduced in this study. Furthermore, the generating functions of these polynomials are provided. Moreover, some relations are found for them. All results obtained are reduced to the $k-$binomial, falling binomial, rising binomial, and binomial transforms of the Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas, Fibonacci, and Lucas numbers.
Authors
- Yasemin Alp (ORCID: https://orcid.org/0000-0002-4146-7374)
Institutions
- Selçuk University (TR)
Publication Details
- Journal
- Mathematical Sciences and Applications E-Notes
- Published
- 2025-05-19
- DOI
- https://doi.org/10.36753/mathenot.1607457
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00