DLMF:14.8.E15 (Q4789): Difference between revisions

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ν - 3 2 , - 5 2 , - 7 2 , 𝜈 3 2 5 2 7 2 {\displaystyle{\displaystyle\nu\neq-\tfrac{3}{2},-\tfrac{5}{2},-\tfrac{7}{2},% \dots}}

\nu\neq-\tfrac{3}{2},-\tfrac{5}{2},-\tfrac{7}{2},\dots
Property / constraint: ν - 3 2 , - 5 2 , - 7 2 , 𝜈 3 2 5 2 7 2 {\displaystyle{\displaystyle\nu\neq-\tfrac{3}{2},-\tfrac{5}{2},-\tfrac{7}{2},% \dots}} / rank
 
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Revision as of 17:51, 30 December 2019

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DLMF:14.8.E15
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    𝑸 ν μ ( x ) π 1 / 2 Γ ( ν + 3 2 ) ( 2 x ) ν + 1 , asymptotically-equals associated-Legendre-black-Q 𝜇 𝜈 𝑥 superscript 𝜋 1 2 Euler-Gamma 𝜈 3 2 superscript 2 𝑥 𝜈 1 {\displaystyle{\displaystyle\boldsymbol{Q}^{\mu}_{\nu}\left(x\right)\sim\frac{% \pi^{1/2}}{\Gamma\left(\nu+\frac{3}{2}\right)(2x)^{\nu+1}},}}
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    DLMF:14.8.E15
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    ν - 3 2 , - 5 2 , - 7 2 , 𝜈 3 2 5 2 7 2 {\displaystyle{\displaystyle\nu\neq-\tfrac{3}{2},-\tfrac{5}{2},-\tfrac{7}{2},% \dots}}
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