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A linear ODE for the Omega function associated with the Euler function \(E_{\alpha}(z)\) and the Bernoulli function \(B_{\alpha }(z)\) - MaRDI portal

A linear ODE for the Omega function associated with the Euler function \(E_{\alpha}(z)\) and the Bernoulli function \(B_{\alpha }(z)\) (Q2371111)

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A linear ODE for the Omega function associated with the Euler function \(E_{\alpha}(z)\) and the Bernoulli function \(B_{\alpha }(z)\)
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    A linear ODE for the Omega function associated with the Euler function \(E_{\alpha}(z)\) and the Bernoulli function \(B_{\alpha }(z)\) (English)
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    29 June 2007
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    alternating mathieu series
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    butzer-flocke-hauss complete omega function
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    complex-index Bernoulli function
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    complex-index Euler function
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    integral representations of alternating mathieu series
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    integral representation of the omega function
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    Dirichlet's eta function
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    Riemann's zeta function
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    Bessel function
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