DLMF:11.4.E30 (Q3962)

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DLMF:11.4.E30
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    test
    d d z ⁡ ( z - ν ⁢ 𝐋 ν ⁡ ( z ) ) = 2 - ν π ⁢ Γ ⁡ ( ν + 3 2 ) + z - ν ⁢ 𝐋 ν + 1 ⁡ ( z ) . derivative 𝑧 superscript 𝑧 𝜈 modified-Struve-L 𝜈 𝑧 superscript 2 𝜈 𝜋 Euler-Gamma 𝜈 3 2 superscript 𝑧 𝜈 modified-Struve-L 𝜈 1 𝑧 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\left(z^{-\nu}% \mathbf{L}_{\nu}\left(z\right)\right)=\frac{2^{-\nu}}{\sqrt{\pi}\Gamma\left(% \nu+\tfrac{3}{2}\right)}+z^{-\nu}\mathbf{L}_{\nu+1}\left(z\right).}}
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    DLMF id
    DLMF:11.4.E30
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