DLMF:29.3.E7 (Q8594): Difference between revisions

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m = 0 , 1 , , ν 𝑚 0 1 𝜈 {\displaystyle{\displaystyle m=0,1,\dots,\nu}}

m=0,1,\dots,\nu
Property / constraint: m = 0 , 1 , , ν 𝑚 0 1 𝜈 {\displaystyle{\displaystyle m=0,1,\dots,\nu}} / rank
 
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Revision as of 18:25, 30 December 2019

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DLMF:29.3.E7
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    a ν m ( k 2 ) + a ν ν - m ( 1 - k 2 ) = ν ( ν + 1 ) , Lame-eigenvalue-a 𝑚 𝜈 superscript 𝑘 2 Lame-eigenvalue-a 𝜈 𝑚 𝜈 1 superscript 𝑘 2 𝜈 𝜈 1 {\displaystyle{\displaystyle a^{m}_{\nu}\left(k^{2}\right)+a^{\nu-m}_{\nu}% \left(1-k^{2}\right)=\nu(\nu+1),}}
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    DLMF:29.3.E7
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    m = 0 , 1 , , ν 𝑚 0 1 𝜈 {\displaystyle{\displaystyle m=0,1,\dots,\nu}}
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