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Derivatives and integrals with respect to the order of the Struve functions \(H_{\nu}(x)\) and \(L_{\nu}(x)\) - MaRDI portal

Derivatives and integrals with respect to the order of the Struve functions \(H_{\nu}(x)\) and \(L_{\nu}(x)\) (Q1118728)

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scientific article; zbMATH DE number 4095885
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English
Derivatives and integrals with respect to the order of the Struve functions \(H_{\nu}(x)\) and \(L_{\nu}(x)\)
scientific article; zbMATH DE number 4095885

    Statements

    Derivatives and integrals with respect to the order of the Struve functions \(H_{\nu}(x)\) and \(L_{\nu}(x)\) (English)
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    1989
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    In continuation of similar work for \(J_{\nu}\), the author obtains these derivatives and integrals (from 0 to \(\infty)\) in the form of integrals by differentiating or integrating, respectively, an integral representation of the given functions, or by the Laplace transform method. Results for \(L_{\nu}\) are obtained from those for \(H_{\nu}\) by the familiar relation between these two functions. 5S-tables of the associated Volterra function and of some auxiliary integrals are included.
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    cylinder functions
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    Bessel functions
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    Struve functions
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