New generalized apostol-frobenius-euler polynomials and their matrix approach
Ortega, María José
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Citar con DOI: https://doi.org/10.46793/KGJMAT2103.393O
Enlace externo del documento: https://imi.pmf.kg.ac.rs/kjm/en/index.php?page=10.46793/KgJMat2103.393O
AbstractIn this paper, we introduce a new extension of the generalized Apostol-Frobenius-Euler polynomials ℋn[m−1,α](x; c,a; λ; u). We give some algebraic and diﬀerential properties, as well as, relationships between this polynomials class with other polynomials and numbers. We also, introduce the generalized Apostol-Frobenius-Euler polynomials matrix ????[m−1,α](x; c,a; λ; u) and the new generalized Apostol-Frobenius-Euler matrix ????[m−1,α](c,a; λ; u), we deduce a product formula for ????[m−1,α](x; c,a; λ; u) and provide some factorizations of the Apostol-Frobenius-Euler polynomial matrix ????[m−1,α](x; c,a; λ; u), which involving the generalized Pascal matrix.
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