Mixed-type Fibonacci-Mittag-Leffler and Lucas-Mittag-Leffler polynomials: some properties
Abstract We introduce and investigate two new families of special polynomials: the mixed-type Fibonacci-Mittag-Leffler (FML) and Lucas-Mittag-Leffler (LML) polynomials. These are constructed by blending classical Fibonacci and Lucas polynomials with Mittag-Leffler polynomials, yielding novel recurrence relations and determinantal representations. Fundamental algebraic identities are established, and the zeros of these polynomials are analyzed through both analytic methods and computational visualization. The asymptotic behavior of zeros is further examined via a generalized version of Hurwitz theorem in two variables.
Authors
- Can Kızılateş (ORCID: https://orcid.org/0000-0002-7958-4226)
- Daniel Bedoya (ORCID: https://orcid.org/0000-0002-5614-4279)
- William B. Ramirez (ORCID: https://orcid.org/0000-0003-4675-0221)
- Yamilet Quintana (ORCID: https://orcid.org/0000-0003-1053-0892)
- Maria-Fernanda Heredia-Moyano
Institutions
- Uninett (Norway) (NO)
- Zonguldak Bülent Ecevit University (TR)
- Universidad Metropolitana (CO)
- University of the Coast (CO)
- Institute of Mathematical Sciences (ES)
- Universidad Carlos III de Madrid (ES)
- Universidad Autónoma de Madrid (ES)
Publication Details
- Journal
- Computational and Applied Mathematics
- Published
- 2025-09-09
- DOI
- https://doi.org/10.1007/s40314-025-03379-5
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00