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...
- Autores:
-
ORTEGA, MARÍA JOSÉ
- Tipo de recurso:
- Fecha de publicación:
- 2018
- Institución:
- Universidad del Atlántico
- Repositorio:
- Repositorio Uniatlantico
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniatlantico.edu.co:20.500.12834/890
- Acceso en línea:
- https://hdl.handle.net/20.500.12834/890
- 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
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc/4.0/
Summary: | 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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