Asymptotic Approximations of Apostol-Genocchi Numbers and Polynomials
DOI:
https://doi.org/10.29020/nybg.ejpam.v14i3.3976Keywords:
Asymptotic approximations, Genocchi polynomials, Bernoulli polynomials, Euler poynomials, Apostol-Bernoulli polynomials, Apostol- Euler polynomials, Apostol-Genocchi polynomialsAbstract
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.
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Published
2021-08-05
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Nonlinear Analysis
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How to Cite
Asymptotic Approximations of Apostol-Genocchi Numbers and Polynomials. (2021). European Journal of Pure and Applied Mathematics, 14(3), 666-684. https://doi.org/10.29020/nybg.ejpam.v14i3.3976