Volume no :7, Issue no: 2, May 2012

Journal of Pure and Applied Mathematics: Advances and Applications

ASYMPTOTIC BEHAVIOUR OF GENERALIZED APOSTOL-BERNOULLI AND APOSTOL-EULER POLYNOMIALS

Author's: ILYAS YAKAN and MÃœMÃœN CAN
Pages: [91] - [103]
Received Date: March 1, 2012
Submitted by:

Abstract

In this paper, we obtain Fourier expansions of generalized Apostol-Bernoulli and Apostol-Euler polynomials. Using these expansions, we establish asymptotic behaviour of these polynomials for fixed positive integer and as We also investigate the cases asymptotically.

Keywords

generalized Apostol-Bernoulli and Apostol-Euler polynomials, asymptotic expansion, Fourier series.