Sobre una extensión de los polinomios de Apóstol- Euler generalizados

  • Pedro Hernández Llanos
  • Alejandro Urieles Guerrero Universidad del Atlántico
Palabras clave: Genocchi polynomials, generating function, generalized Apostol-Euler polynomials, Jacobi, Laguerre and Hermite polynomials, Stirling numbers of the second kind. Polinomios de Genocchi, funciones generatrices, polinomios de Apostol-Euler generalizados, Polinomios de Jacobi, Laguerre y Hermite, números de Stirling de segundo orden.

Resumen

En este artículo se estudia una extensión conocida de los polinomios de Apostol-Euler generalizados y algunas de sus propiedades, su relación con los números de Stirling de segundo orden, los polinomios de Genocchi y los polinomios ortogonales clásicos.

 

Visitas al artículo

214

Descargas

La descarga de datos todavía no está disponible.

Referencias

Apostol, T: On the Lerch Zeta function. Pacific J. Math.1, 161-167 (1951)

Chen, S, Cai, Y, Luo, Q: An extension of generalized Apostol-Euler polynomials. 2013:61, Chen et al. Advances in Difference Equations (2013)

Erdélyi, A, Magnus, W, Oberhettinger, F, Tricomi, F: Higher Trascendental Functions. Vol 1 (1953)

Erdélyi, A, Magnus, W, Oberhettinger, F, Tricomi, F: Higher Trascendental Functions. Vol 2 (1953)

Erdélyi, A, Magnus, W, Oberhettinger, F, Tricomi, F: Higher Trascendental Functions. Vol 3 (1953)

Kurt, B: A further generalization of the Bernoulli polynomials

and on the 2D-Bernoulli polynomials B2n (x, y). Appl. Math. 233, 3005-3017 (2010)

Luck, Y: The Special Functions and their Approximations.(1969)

Luo, Q-M, Srivastava, HM: Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials. J. Math. Anal. Appl.308, 290-302 (2005)

Luo, Q-M: Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions. Taiwan, J. Math.10(4), 917-925 (2006)

Luo, Q-M, Srivastava, HM: Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials Comput. Math. Appl.51, 631-642(2006)

Luo, Q-M: Some generalizations of the Apostol-Genocchi and Stirling numbers of the second kind. Appl. Math. Comput. 217, 5702-5728 (2011)

Luo, Q-M: Extension for the Genocchi polynomials and its Fourier expansions and integral representations. Osaka J. Math.48, 291-309 (2011)

Natalini, P, Bernardini, A: A generalization of the Bernoulli polynomials. J. Appl. Math.)3, 155-163 (2003)

Rainville, ED: Special Functions. Macmillan Company, New York (1960); Reprinted by Chelsea publishing Company, Bronx (1971)

Srivastava, HM, Choi, J: Series Associated with the Zeta and Related Functions. Kluwer Academic, Dordrecht (2001)

Srivastava, HM, Kurt, B, Simsek, Y: Corrigendum to some families of Genocchi type polynomials and their interpolation functions. Integral Transforms Spec. Funct. 23, 939-940 (2009)

Szego, G: Orthogonal Polynomials. American Math. Soc. Providence, Rhode Island. (1939)

Tremblay, R, Gaboury, S, Fugére, B-J: A new class of generalized

Apostol-Bernoulli polynomials and some analogues of the Srivastava. Pint´er addition theorem Appl. Math. Lett. 24, 1888-1893 (2011)

Wang, W, Jia, C, Wang, T: Some results on the Apostol-Bernoulli and Apostol-Euler polynomials. Comput. Math. Appl. 55, 1322-1332 (2008)

Publicado
2014-06-27
Cómo citar
Llanos, P. H., & Urieles Guerrero, A. (2014). Sobre una extensión de los polinomios de Apóstol- Euler generalizados. Revista MATUA ISSN: 2389-7422, 1(1). Recuperado a partir de https://investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/1038