Generalized Apostol-type polynomial matrix and its algebraic properties

The aim of this paper is to introduce the generalized Apostol-type polynomial matrix W [m−1,α](x;c,a;λ;µ;ν) and the generalized Apos-tol-type matrix W [m−1,α](c,a;λ;µ;ν). Using some properties of the generalized Apostol-type polynomials and numbers, we deduce a product formula for W [m−1,α](x;c,a;λ;µ;ν) and provide some factorizations of the Apostol-type polynomial matrix W [m−1](x;c,a;λ;µ;ν), involving the generalized Pascal matrix, Fibonacci and Lucas matrices, respectively. AMS 2010 Subject Classiﬁcation: 11B68, 11B83, 11C08, 11B39, 33B99. ; Quintana, Yamilet ; Ramírez, William ; Urieles Guerrero, Alejandro-will be generated-orcid-0000-0002-7186-0898-600

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Colombia

Related Organizations

University of the Coast
Colombia

Keywords

Matemáticas, Generalized Apostol-type matrix, Generalized Apostol-type polynomials, Generalized Pascal matrix, Generalized Fibonacci matrix, Lucas matrix, Admissible generalized Apostol-type matrix, 004

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