Mixed-type Fibonacci-Mittag-Leffler and Lucas-Mittag-Leffler polynomials: some properties
Can Kizilates, William Ramirez, Yamilet Quintana, Daniel Bedoya, Maria-Fernanda Heredia-Moyano
article (Uluslararası, Hakemli) | Yazar(lar): Can Kizilates, William Ramirez, Yamilet Quintana, Daniel Bedoya, Maria-Fernanda Heredia-Moyano | Yıl: 2025 | Dergi/Kurum: COMPUTATIONAL & APPLIED MATHEMATICS | İndeks: WOS.SCI | DOI: 10.1007/s40314-025-03379-5 | Anahtar Kelimeler: Lucas polynomials, Fibonacci polynomials, M
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.