DLMF:10.7.E7 (Q3060): Difference between revisions

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Property / constraint
 

ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}}

\realpart@@{\nu}>0
Property / constraint: ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}} / rank
 
Normal rank

Revision as of 17:15, 30 December 2019

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DLMF:10.7.E7
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    H ν ( 1 ) ( z ) - H ν ( 2 ) ( z ) - ( i / π ) Γ ( ν ) ( 1 2 z ) - ν , asymptotically-equals Hankel-H-1-Bessel-third-kind 𝜈 𝑧 Hankel-H-2-Bessel-third-kind 𝜈 𝑧 asymptotically-equals 𝑖 𝜋 Euler-Gamma 𝜈 superscript 1 2 𝑧 𝜈 {\displaystyle{\displaystyle{H^{(1)}_{\nu}}\left(z\right)\sim-{H^{(2)}_{\nu}}% \left(z\right)\sim-(i/\pi)\Gamma\left(\nu\right)(\tfrac{1}{2}z)^{-\nu},}}
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    DLMF:10.7.E7
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    ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}}
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