A Note on the p-Adic Interpolation Function for Multiple Generalized Genocchi Numbers

Aracı, Serkan; Açıkgöz, Mehmet; Şen, Erdoğan

doi:10.12691/tjant-1-1-5

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2022

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“…The author recommends finding Fourier expansion and asymptotic approximations of higher-order Apostol-Tangent numbers and polynomials using the method employed in this paper (see also [25]). Furthermore, one may also try to consider multiple generalized Tangent polynomials and their p-adic interpolation function [26].…”

Section: Conclusion and Recommendationmentioning

confidence: 99%

Asymptotic Approximation of the Apostol-Tangent Polynomials Using Fourier Series

et al. 2022

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Asymptotic approximations of the Apostol-tangent numbers and polynomials were established for non-zero complex values of the parameter λ. Fourier expansion of the Apostol-tangent polynomials was used to obtain the asymptotic approximations. The asymptotic formulas for the cases λ=1 and λ=−1 were explicitly considered to obtain asymptotic approximations of the corresponding tangent numbers and polynomials.

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Section: Conclusion and Recommendationmentioning

confidence: 99%