<p>In this paper, we have presented the matrix polynomials based on the Mittag-Leffler-Laguerre sequence and explored their characteristics. We determine their generating function, umbral image, as well as pure and differential recurrence relations. Additionally, we examined various identities associated with these recently introduced special polynomials. The paper concludes with some final remarks.</p>

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Umbral study of Mittag-Leffler-Laguerre matrix polynomials

  • Umme Zainab,
  • Yamilet Quintana

摘要

In this paper, we have presented the matrix polynomials based on the Mittag-Leffler-Laguerre sequence and explored their characteristics. We determine their generating function, umbral image, as well as pure and differential recurrence relations. Additionally, we examined various identities associated with these recently introduced special polynomials. The paper concludes with some final remarks.