Values of certain Dirichlet series and higher derivative formulas of trigonometric functions (Q6540615)

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scientific article; zbMATH DE number 7850233
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Values of certain Dirichlet series and higher derivative formulas of trigonometric functions
scientific article; zbMATH DE number 7850233

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    Values of certain Dirichlet series and higher derivative formulas of trigonometric functions (English)
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    17 May 2024
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    The bulk of this paper is to establish new values of certain Dirichlet series. These formulas are obtained by applying expansions of higher derivative formulas of classical trigonometric functions. Finally, the authors investigate the transcendentality of the computed values of these series.
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    Dirichlet series
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    Bernoulli numbers
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    Bernoulli polynomials
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    Eulerian numbers
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    Euler polynomials
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