Biblioteca Origen uc3m Identificador Kızılateş, C., Ramírez, W., Quintana, Y., Bedoya, D., & Heredia-Moyano, M.-F. (2026). Mixed-type Fibonacci-Mittag-Leffler and Lucas-Mittag-Leffler polynomials: some properties. Computational & Applied Mathematics, 45(1). Identificador 2238-3603 Identificador https://hdl.handle.net/10016/48032 Identificador https://doi.org/10.1007/s40314-025-03379-5 Identificador 1 Identificador 1 Identificador 16 Identificador Computational and Applied Mathematics Identificador 45 Identificador AR/0000037928 Título Mixed-type Fibonacci-Mittag-Leffler and Lucas-Mittag-Leffler polynomials: some properties Autor Kizilates, Can Autor Ramírez, William Autor Quintana, Yamilet Autor Bedoya, Daniel Autor Heredia Moyano, María Fernanda Materia Lucas polynomials Materia Fibonacci polynomials Materia Mittag-Leffler polynomials Materia Mixed-type polynomials Materia FML polynomials Materia LML polynomials Materia Matemáticas Resumen 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. | Open Access funding provided by Colombia Consortium. Editor Springer Fecha de Publicación 2025-09-25T12:18:35Z | 2025-09-25T12:18:35Z | 2025-09-09 Tipo research article | VoR Formato 16 Formato application/pdf Idioma eng Derechos © The Author(s) 2025 | Attribution 4.0 International | http://creativecommons.org/licenses/by/4.0/ | open access Información OAI   ID oai:e-archivo.uc3m.es:10016/48032 Última Modificación 2025-09-26