DLMF:11.7.E10 (Q4000): Difference between revisions

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Property / constraint
 

ν > - 3 2 𝜈 3 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{3}{2}}}

\realpart@@{\nu}>-\tfrac{3}{2}
Property / constraint: ν > - 3 2 𝜈 3 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{3}{2}}} / rank
 
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Revision as of 16:42, 30 December 2019

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DLMF:11.7.E10
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    Statements

    0 t - ν - 1 𝐇 ν ( t ) d t = π 2 ν + 1 Γ ( ν + 1 ) , superscript subscript 0 superscript 𝑡 𝜈 1 Struve-H 𝜈 𝑡 𝑡 𝜋 superscript 2 𝜈 1 Euler-Gamma 𝜈 1 {\displaystyle{\displaystyle\int_{0}^{\infty}t^{-\nu-1}\mathbf{H}_{\nu}\left(t% \right)\mathrm{d}t=\frac{\pi}{2^{\nu+1}\Gamma\left(\nu+1\right)},}}
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    ν > - 3 2 𝜈 3 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{3}{2}}}
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