Asymptotic Approximations of Apostol-Genocchi Numbers and Polynomials

Cristina Bordaje Corcino

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.

Keywords

Asymptotic approximations; Genocchi polynomials; Bernoulli polynomials; Euler poynomials; Apostol-Bernoulli polynomials; Apostol- Euler polynomials; Apostol-Genocchi polynomials

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