DLMF:13.4.E4 (Q4367): 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 16:45, 30 December 2019

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DLMF:13.4.E4
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    U ( a , b , z ) = 1 Γ ( a ) 0 e - z t t a - 1 ( 1 + t ) b - a - 1 d t , Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 1 Euler-Gamma 𝑎 superscript subscript 0 superscript 𝑒 𝑧 𝑡 superscript 𝑡 𝑎 1 superscript 1 𝑡 𝑏 𝑎 1 𝑡 {\displaystyle{\displaystyle U\left(a,b,z\right)=\frac{1}{\Gamma\left(a\right)% }\int_{0}^{\infty}e^{-zt}t^{a-1}(1+t)^{b-a-1}\mathrm{d}t,}}
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    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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