NEW GENERALIZED APOSTOL-FROBENIUS-EULER POLYNOMIALS AND THEIR MATRIX APPROACH
In this paper, we introduce a new extension of the generalized ApostolFrobenius-Euler polynomials H [m−1,α] n (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 gener...
| Autor: | |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Colombia |
| Institución: | Universidad del Atlántico |
| Repositorio: | Repositorio Uniatlantico |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uniatlantico.edu.co:20.500.12834/890 |
| Acceso en línea: | https://hdl.handle.net/20.500.12834/890 |
| Access Level: | acceso abierto |
| Palabra clave: | . Generalized Apostol-type polynomials, Apostol-Frobennius-Euler polynomials, Apostol-Bernoulli polynomials of higher order, Apostol-Genocchi polynomials of higher order, Stirling numbers of second kind, generalized Pascal matrix |
| Sumario: | In this paper, we introduce a new extension of the generalized ApostolFrobenius-Euler polynomials H [m−1,α] n (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 ApostolFrobenius-Euler polynomials matrix U [m−1,α] (x; c, a; λ; u) and the new generalized Apostol-Frobenius-Euler matrix U [m−1,α] (c, a; λ; u), we deduce a product formula for U [m−1,α] (x; c, a; λ; u) and provide some factorizations of the Apostol-Frobenius-Euler polynomial matrix U [m−1,α] (x; c, a; λ; u), which involving the generalized Pascal matrix. |
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