DLMF:8.6.E2 (Q2516): Difference between revisions

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Property / constraint
 

a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}

\realpart@@{a}>0
Property / constraint: a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}} / rank
 
Normal rank

Revision as of 16:09, 30 December 2019

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DLMF:8.6.E2
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    Statements

    γ ( a , z ) = z 1 2 a 0 e - t t 1 2 a - 1 J a ( 2 z t ) d t , incomplete-gamma 𝑎 𝑧 superscript 𝑧 1 2 𝑎 superscript subscript 0 superscript 𝑒 𝑡 superscript 𝑡 1 2 𝑎 1 Bessel-J 𝑎 2 𝑧 𝑡 𝑡 {\displaystyle{\displaystyle\gamma\left(a,z\right)=z^{\frac{1}{2}a}\int_{0}^{% \infty}e^{-t}t^{\frac{1}{2}a-1}J_{a}\left(2\sqrt{zt}\right)\mathrm{d}t,}}
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    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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