DLMF:29.3.E5 (Q8592): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12358 / rank
 
Normal rank
Property / Symbols used: Q12358 / qualifier
 
Defining formula:

b ν n ( k 2 ) Lame-eigenvalue-b 𝑛 𝜈 superscript 𝑘 2 {\displaystyle{\displaystyle b^{\NVar{n}}_{\NVar{\nu}}\left(\NVar{k^{2}}\right% )}}

\Lameeigvalb{\NVar{n}}{\NVar{\nu}}@{\NVar{k^{2}}}
Property / Symbols used: Q12358 / qualifier
 
xml-id: C29.S3.SS1.p1.m12addec

Revision as of 15:44, 2 January 2020

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DLMF:29.3.E5
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    Statements

    a ν m ( k 2 ) = b ν m ( k 2 ) , Lame-eigenvalue-a 𝑚 𝜈 superscript 𝑘 2 Lame-eigenvalue-b 𝑚 𝜈 superscript 𝑘 2 {\displaystyle{\displaystyle a^{m}_{\nu}\left(k^{2}\right)=b^{m}_{\nu}\left(k^% {2}\right),}}
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    DLMF:29.3.E5
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    ν = 0 , 1 , , m - 1 𝜈 0 1 𝑚 1 {\displaystyle{\displaystyle\nu=0,1,\dots,m-1}}
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    a ν n ( k 2 ) Lame-eigenvalue-a 𝑛 𝜈 superscript 𝑘 2 {\displaystyle{\displaystyle a^{\NVar{n}}_{\NVar{\nu}}\left(\NVar{k^{2}}\right% )}}
    C29.S3.SS1.p1.m11addec
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    b ν n ( k 2 ) Lame-eigenvalue-b 𝑛 𝜈 superscript 𝑘 2 {\displaystyle{\displaystyle b^{\NVar{n}}_{\NVar{\nu}}\left(\NVar{k^{2}}\right% )}}
    C29.S3.SS1.p1.m12addec
    0 references