On an Extension of the Generalized Apostol-Euler Polynomials
Abstract
In this article is studied an known extension of generalized Apostol-Euler polynomials and some properties, its relationship with the Stirling numbers of the second kind, Genocchi polynomials and the classics orthogonal polynomials.
Visitas al artículo
Downloads
References
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)
