DLMF:5.9.E3 (Q2092): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / constraint
 

c > 0 𝑐 0 {\displaystyle{\displaystyle c>0}}

c>0
Property / constraint: c > 0 𝑐 0 {\displaystyle{\displaystyle c>0}} / rank
 
Normal rank

Revision as of 17:04, 30 December 2019

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DLMF:5.9.E3
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    Statements

    c - z Γ ( z ) = - | t | 2 z - 1 e - c t 2 d t , superscript 𝑐 𝑧 Euler-Gamma 𝑧 superscript subscript superscript 𝑡 2 𝑧 1 superscript 𝑒 𝑐 superscript 𝑡 2 𝑡 {\displaystyle{\displaystyle c^{-z}\Gamma\left(z\right)=\int_{-\infty}^{\infty% }|t|^{2z-1}e^{-ct^{2}}\mathrm{d}t,}}
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    DLMF:5.9.E3
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    z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}
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    c > 0 𝑐 0 {\displaystyle{\displaystyle c>0}}
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