Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials

Luis M. Navas, Francisco J. Ruiz, Juan L. Varona

We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials ${\mathcal{B}}_n(x;\lambda )$ in detail. The starting point is their Fourier series on $[0,1]$ which, it is shown,…