DLMF:10.7.E6 (Q3059): Difference between revisions

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Property / constraint
 

ν 𝜈 {\displaystyle{\displaystyle\nu\in\mathbb{R}}}

\nu\in\Reals
Property / constraint: ν 𝜈 {\displaystyle{\displaystyle\nu\in\mathbb{R}}} / rank
 
Normal rank

Revision as of 17:15, 30 December 2019

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DLMF:10.7.E6
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    Y i ν ( z ) = i csch ( ν π ) Γ ( 1 - i ν ) ( 1 2 z ) - i ν - i coth ( ν π ) Γ ( 1 + i ν ) ( 1 2 z ) i ν + e | ν ph z | o ( 1 ) , Bessel-Y-Weber 𝑖 𝜈 𝑧 𝑖 𝜈 𝜋 Euler-Gamma 1 𝑖 𝜈 superscript 1 2 𝑧 𝑖 𝜈 𝑖 hyperbolic-cotangent 𝜈 𝜋 Euler-Gamma 1 𝑖 𝜈 superscript 1 2 𝑧 𝑖 𝜈 superscript 𝑒 𝜈 phase 𝑧 little-o 1 {\displaystyle{\displaystyle Y_{i\nu}\left(z\right)=\frac{i\operatorname{csch}% \left(\nu\pi\right)}{\Gamma\left(1-i\nu\right)}(\tfrac{1}{2}z)^{-i\nu}-\frac{i% \coth\left(\nu\pi\right)}{\Gamma\left(1+i\nu\right)}(\tfrac{1}{2}z)^{i\nu}+e^{% |\nu\operatorname{ph}z|}o\left(1\right),}}
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    DLMF:10.7.E6
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    ν 𝜈 {\displaystyle{\displaystyle\nu\in\mathbb{R}}}
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