Mixed-type Fibonacci-Mittag-Leffler and Lucas Mittag-Leffler polynomials: some properties Articles uri icon

publication date

  • September 2025

start page

  • 1

end page

  • 16

issue

  • 1, 32

volume

  • 45

International Standard Serial Number (ISSN)

  • 2238-3603

Electronic International Standard Serial Number (EISSN)

  • 1807-0302

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.

subjects

  • Mathematics

keywords

  • lucas polynomials; fibonacci polynomials; mittag-leffler polynomials; mixed-type polynomials; fml polynomials; lml polynomials