DLMF:13.10.E4 (Q4463): Difference between revisions

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

z > 1 𝑧 1 {\displaystyle{\displaystyle\Re z>1}}

\realpart@@{z}>1
Property / constraint: z > 1 𝑧 1 {\displaystyle{\displaystyle\Re z>1}} / rank
 
Normal rank

Revision as of 17:47, 30 December 2019

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DLMF:13.10.E4
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    Statements

    0 e - z t t b - 1 𝐌 ( a , b , t ) d t = z - b ( 1 - 1 z ) - a , superscript subscript 0 superscript 𝑒 𝑧 𝑡 superscript 𝑡 𝑏 1 Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑡 𝑡 superscript 𝑧 𝑏 superscript 1 1 𝑧 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-zt}t^{b-1}{\mathbf{M}}\left(a% ,b,t\right)\mathrm{d}t=z^{-b}\left(1-\frac{1}{z}\right)^{-a},}}
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    DLMF:13.10.E4
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    b > 0 𝑏 0 {\displaystyle{\displaystyle\Re b>0}}
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    z > 1 𝑧 1 {\displaystyle{\displaystyle\Re z>1}}
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