Geodesic
New Results Parametric Apostol-Type Frobenius-Euler Polynomials and their Matrix Approach
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 411

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The new algebraic properties of the parametric Apostol-type Frobenius-Euler polynomials and parametric type Frobenius-Euler polynomial have been explained in this research. The researchers have studied the series of the Taylor type and established the relation between the classic Apostol Frobenius-Euler and Frobenius-Euler polynomials. This work has also addressed the generalized parametric Apostol-type Frobenius-Euler polynomials matrices and has shown some of their properties. Finally, this research provided some factorizations of Apostol-type Frobenius-Euler matrix that involves the generalized Pascal matrix, Fibonacci and Lucas matrices, respectively.
Classification : 33E20, 11B83, 11B68, 30H50
Keywords: Appell polynomials, Frobenius-Euler polynomials, Apostol Frobenius-Euler polynomials, Apostol Frobenius-Euler numbers, parametric generalization 
William Ramírez; María José Ortega; Daniel Bedoya; Alejandro Urieles. New Results Parametric Apostol-Type Frobenius-Euler Polynomials and their Matrix Approach. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 411 . http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a6/
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     title = {New {Results} {Parametric} {Apostol-Type} {Frobenius-Euler} {Polynomials} and their {Matrix} {Approach}},
     journal = {Kragujevac Journal of Mathematics},
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