Yuan He

Sep 10, 2024 | mdpi.com | Wenbin Li |Yuan He |Yuewei Ma |Dongtao Han

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Feb 5, 2024 | dx.doi.org | Yong-Jiang Xu |Yuan He |Cong Chen |Jiachen Shi

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Jul 8, 2023 | mdpi.com | Yuan He

Abstract:In this paper, we perform a further investigation on the Apostol–Bernoulli and Apostol–Euler functions introduced by Luo. By using the Fourier expansions of the Apostol–Bernoulli and Apostol–Euler polynomials, we establish some symmetric identities for the Apostol–Bernoulli and Apostol–Euler functions. As applications, some known results, for example, Raabe’s multiplication formula and Hermite’s identity, are deduced as special cases.