DLMF:19.32.E2 (Q6692): Difference between revisions

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

0 < ph ( p - x j ) < π 0 phase 𝑝 subscript 𝑥 𝑗 𝜋 {\displaystyle{\displaystyle 0<\operatorname{ph}\left(p-x_{j}\right)<\pi}}

0<\phase@{p-x_{j}}<\pi
Property / constraint: 0 < ph ( p - x j ) < π 0 phase 𝑝 subscript 𝑥 𝑗 𝜋 {\displaystyle{\displaystyle 0<\operatorname{ph}\left(p-x_{j}\right)<\pi}} / rank
 
Normal rank

Revision as of 18:10, 30 December 2019

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DLMF:19.32.E2
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    Statements

    d z = - 1 2 ( j = 1 3 ( p - x j ) - 1 / 2 ) d p , 𝑧 1 2 superscript subscript product 𝑗 1 3 superscript 𝑝 subscript 𝑥 𝑗 1 2 𝑝 {\displaystyle{\displaystyle\mathrm{d}z=-\frac{1}{2}\left(\prod_{j=1}^{3}(p-x_% {j})^{-1/2}\right)\mathrm{d}p,}}
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    DLMF:19.32.E2
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    p > 0 𝑝 0 {\displaystyle{\displaystyle\Im p>0}}
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    0 < ph ( p - x j ) < π 0 phase 𝑝 subscript 𝑥 𝑗 𝜋 {\displaystyle{\displaystyle 0<\operatorname{ph}\left(p-x_{j}\right)<\pi}}
    0 references