DLMF:2.5.E40 (Q816): Difference between revisions

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Property / constraint
 

j = 1 , 2 𝑗 1 2 {\displaystyle{\displaystyle j=1,2}}

j=1,2
Property / constraint: j = 1 , 2 𝑗 1 2 {\displaystyle{\displaystyle j=1,2}} / rank
 
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Revision as of 15:53, 30 December 2019

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DLMF:2.5.E40
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    I j ( x ) = 1 2 π i p j - i p j + i x - z Γ ( 1 - z ) h j ( z ) d z , subscript 𝐼 𝑗 𝑥 1 2 𝜋 𝑖 superscript subscript subscript 𝑝 𝑗 𝑖 subscript 𝑝 𝑗 𝑖 superscript 𝑥 𝑧 Euler-Gamma 1 𝑧 Mellin-transform subscript 𝑗 𝑧 𝑧 {\displaystyle{\displaystyle I_{j}(x)=\frac{1}{2\pi i}\int_{p_{j}-i\infty}^{p_% {j}+i\infty}x^{-z}\Gamma\left(1-z\right)\mathscr{M}\mskip-3.0mu h_{j}\mskip 3.% 0mu \left(z\right)\mathrm{d}z,}}
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    j = 1 , 2 𝑗 1 2 {\displaystyle{\displaystyle j=1,2}}
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