DLMF:14.9.E4 (Q4794): Difference between revisions

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ν m - 1 , m - 2 , 𝜈 𝑚 1 𝑚 2 {\displaystyle{\displaystyle\nu\neq m-1,m-2,\dots}}

\nu\neq m-1,m-2,\dots
Property / constraint: ν m - 1 , m - 2 , 𝜈 𝑚 1 𝑚 2 {\displaystyle{\displaystyle\nu\neq m-1,m-2,\dots}} / rank
 
Normal rank

Revision as of 17:52, 30 December 2019

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DLMF:14.9.E4
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    𝖰 ν - m ( x ) = ( - 1 ) m Γ ( ν - m + 1 ) Γ ( ν + m + 1 ) 𝖰 ν m ( x ) , Ferrers-Legendre-Q-first-kind 𝑚 𝜈 𝑥 superscript 1 𝑚 Euler-Gamma 𝜈 𝑚 1 Euler-Gamma 𝜈 𝑚 1 Ferrers-Legendre-Q-first-kind 𝑚 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{Q}^{-m}_{\nu}\left(x\right)=(-1)^{m}\frac{% \Gamma\left(\nu-m+1\right)}{\Gamma\left(\nu+m+1\right)}\mathsf{Q}^{m}_{\nu}% \left(x\right),}}
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    DLMF:14.9.E4
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    ν m - 1 , m - 2 , 𝜈 𝑚 1 𝑚 2 {\displaystyle{\displaystyle\nu\neq m-1,m-2,\dots}}
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