Asymptotic Approximations of Apostol-Genocchi Numbers and Polynomials

Keywords: Asymptotic approximations, Genocchi polynomials, Bernoulli polynomials, Euler poynomials, Apostol-Bernoulli polynomials, Apostol- Euler polynomials, Apostol-Genocchi polynomials

Abstract

Asymptotic approximations of the Apostol-Genocchi numbers and
polynomials are derived using Fourier series and ordering of poles of
the generating function. Asymptotic formulas for the Apostol-Euler
numbers and polynomials are obtained as consequence. Asymptotic
formulas for special cases which include the Genocchi numbers and
polynomials are also explicitly stated.

Published
2021-08-05
Section
Nonlinear Analysis