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About Extensions of Generalized Apostol-Type Polynomials

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Abstract

Under a slight modification on the parameters associated to the generalized Apostol-type polynomials and the use of the generating method, we obtain some new results concerning extensions of generalized Apostol-type polynomials. We state some algebraic and differential properties for a new class of extensions of generalized Apostol-type polynomials, as well as, some others identities which connect this polynomial class with the Stirling numbers of second kind, the Jacobi polynomials, the generalized Bernoulli polynomials, the Genocchi polynomials and the Apostol–Euler polynomials, respectively.

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Authors and Affiliations

  1. Programa de Matemáticas, Universidad del Atlántico, Km 7 Vía Pto. Colombia, Barranquilla, Colombia

    Pedro Hernández-Llanos & Alejandro Urieles

  2. Departamento de Matemáticas Puras y Aplicadas, Edificio Matemáticas y Sistemas (MYS), Universidad Simón Bolívar, Apartado Postal: 89000, Caracas, 1080 A, Venezuela

    Yamilet Quintana & Alejandro Urieles

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  1. Pedro Hernández-Llanos
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  2. Yamilet Quintana
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  3. Alejandro Urieles
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Correspondence to Yamilet Quintana.

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Partially supported by the Research Grant Program 2009–2014 from Universidad del Atlántico-Colombia.

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Hernández-Llanos, P., Quintana, Y. & Urieles, A. About Extensions of Generalized Apostol-Type Polynomials. Results. Math. 68, 203–225 (2015). https://doi.org/10.1007/s00025-014-0430-2

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