DLMF:10.9.E11 (Q3078): Difference between revisions

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Property / constraint
 

- π < ph z < 0 𝜋 phase 𝑧 0 {\displaystyle{\displaystyle-\pi<\operatorname{ph}z<0}}

-\pi<\phase@@{z}<0
Property / constraint: - π < ph z < 0 𝜋 phase 𝑧 0 {\displaystyle{\displaystyle-\pi<\operatorname{ph}z<0}} / rank
 
Normal rank

Revision as of 16:15, 30 December 2019

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DLMF:10.9.E11
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    Statements

    H ν ( 2 ) ( z ) = - e 1 2 ν π i π i - e - i z cosh t - ν t d t , Hankel-H-2-Bessel-third-kind 𝜈 𝑧 superscript 𝑒 1 2 𝜈 𝜋 𝑖 𝜋 𝑖 superscript subscript superscript 𝑒 𝑖 𝑧 𝑡 𝜈 𝑡 𝑡 {\displaystyle{\displaystyle{H^{(2)}_{\nu}}\left(z\right)=-\frac{e^{\frac{1}{2% }\nu\pi i}}{\pi i}\int_{-\infty}^{\infty}e^{-iz\cosh t-\nu t}\mathrm{d}t,}}
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    - π < ph z < 0 𝜋 phase 𝑧 0 {\displaystyle{\displaystyle-\pi<\operatorname{ph}z<0}}
    0 references