DLMF:14.8.E1 (Q4775): Difference between revisions

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Property / constraint
 

μ 1 , 2 , 3 , 𝜇 1 2 3 {\displaystyle{\displaystyle\mu\neq 1,2,3,\dots}}

\mu\neq 1,2,3,\dots
Property / constraint: μ 1 , 2 , 3 , 𝜇 1 2 3 {\displaystyle{\displaystyle\mu\neq 1,2,3,\dots}} / rank
 
Normal rank

Revision as of 16:51, 30 December 2019

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DLMF:14.8.E1
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    Statements

    𝖯 ν μ ( x ) 1 Γ ( 1 - μ ) ( 2 1 - x ) μ / 2 , asymptotically-equals Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 1 Euler-Gamma 1 𝜇 superscript 2 1 𝑥 𝜇 2 {\displaystyle{\displaystyle\mathsf{P}^{\mu}_{\nu}\left(x\right)\sim\frac{1}{% \Gamma\left(1-\mu\right)}\left(\frac{2}{1-x}\right)^{\mu/2},}}
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    μ 1 , 2 , 3 , 𝜇 1 2 3 {\displaystyle{\displaystyle\mu\neq 1,2,3,\dots}}
    0 references