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NEW GENERALIZED APOSTOL-FROBENIUS-EULER POLYNOMIALS AND THEIR MATRIX APPROACH
dc.contributor.author | ORTEGA, MARÍA JOSÉ | |
dc.contributor.other | RAMÍREZ, WILLIAM | |
dc.contributor.other | URIELES, ALEJANDRO | |
dc.date.accessioned | 2022-11-15T20:49:38Z | |
dc.date.available | 2022-11-15T20:49:38Z | |
dc.date.issued | 2019-01-25 | |
dc.date.submitted | 2018-06-06 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12834/890 | |
dc.description.abstract | 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. | spa |
dc.format.mimetype | application/pdf | spa |
dc.language.iso | eng | spa |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.source | Universidad de la costa | spa |
dc.title | NEW GENERALIZED APOSTOL-FROBENIUS-EULER POLYNOMIALS AND THEIR MATRIX APPROACH | spa |
dcterms.bibliographicCitation | 1] R. Askey, Orthogonal Polynomials and Special Functions, Regional Conference Series in Applied Mathematics, SIAM. J. W. Arrowsmith Ltd., Bristol, England, 1975. | spa |
dcterms.bibliographicCitation | [2] L. Carlitz, Eulerian numbers and polynomials, Math. Mag. 32 (1959), 247–260. | spa |
dcterms.bibliographicCitation | [3] G. Call and D. J. Velleman, Pascal’s matrices, Amer. Math. Monthly 100 (1993), 372–376. | spa |
dcterms.bibliographicCitation | [4] L. Castilla, W. Ramírez and A. Urieles, An extended generalized q-extensions for the Apostol type polynomials, Abstr. Appl. Anal. 2018 (2018), 1–13. | spa |
dcterms.bibliographicCitation | [5] L. Comtet, Advanced Combinatorics: The Art of Finite and Infinite Expansions, Reidel, Dordrecht, Boston, 1974. | spa |
dcterms.bibliographicCitation | [6] R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, New York, 1994 | spa |
dcterms.bibliographicCitation | [7] L. Hernández, Y. Quintana and A. Urieles, About extensions of generalized Apostol-type polynomials, Results Math. 68 (2015), 203–225 | spa |
dcterms.bibliographicCitation | [8] B. Kurt and Y. Simsek, On the generalized Apostol-type Frobenius-Euler polynomials, Adv. Difference Equ. 2013 (2013), 1–9. | spa |
dcterms.bibliographicCitation | [9] Q. M. Luo, Extensions of the Genocchi polynomials and its Fourier expansions and integral representations, Osaka J. Math. 48 (2011), 291–309. | spa |
dcterms.bibliographicCitation | [10] Q. M. Luo and H. M. Srivastava, Some relationships between the Apostol-Bernoulli and ApostolEuler polynomials, Comput. Math. Appl. 51 (2006), 631–642. | spa |
dcterms.bibliographicCitation | [11] P. Natalini and A. Bernardini, A generalization of the Bernoulli polynomials, J. Appl. Math. 3 (2003), 155–163 | spa |
dcterms.bibliographicCitation | [12] Y. Quintana, W. Ramírez and A. Urieles, On an operational matrix method based on generalized Bernoulli polynomials of level m, Calcolo 55 (2018), 23–40. | spa |
dcterms.bibliographicCitation | 13] Y. Quintana, W. Ramírez and A. Urieles, Generalized Apostol-type polynomial matrix and its algebraic properties. Math. Repor. 21(2) (2019). | spa |
dcterms.bibliographicCitation | [14] Z. Zhang and J. Wang, Bernoulli matrix and its algebraic properties, Discrete Appl. Math. 154 (2006), 1622–1632. | spa |
datacite.rights | http://purl.org/coar/access_right/c_abf2 | spa |
oaire.resourcetype | http://purl.org/coar/resource_type/c_6501 | spa |
oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | spa |
dc.audience | Público general | spa |
dc.identifier.doi | 10.46793/KgJMat2103.393O | |
dc.identifier.instname | Universidad del Atlántico | spa |
dc.identifier.reponame | Repositorio Universidad del Atlántico | spa |
dc.rights.cc | Attribution-NonCommercial 4.0 International | * |
dc.subject.keywords | . 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 | spa |
dc.type.driver | info:eu-repo/semantics/article | spa |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | spa |
dc.type.spa | Artículo | spa |
dc.publisher.place | Barranquilla | spa |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | spa |
dc.publisher.sede | Sede Norte | spa |