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

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
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Property / constraint
 

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

\nu=0,1,\dots,m-1
Property / constraint: ν = 0 , 1 , , m - 1 𝜈 0 1 𝑚 1 {\displaystyle{\displaystyle\nu=0,1,\dots,m-1}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q12356 / rank
 
Normal rank
Property / Symbols used: Q12356 / qualifier
 
Defining formula:

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% )}}

\Lameeigvala{\NVar{n}}{\NVar{\nu}}@{\NVar{k^{2}}}
Property / Symbols used: Q12356 / qualifier
 
xml-id: C29.S3.SS1.p1.m11addec
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
Property / Symbols used
 
Property / Symbols used: Q12357 / rank
 
Normal rank
Property / Symbols used: Q12357 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12357 / qualifier
 
xml-id: C29.S1.XMD1.m1edec
Property / Symbols used
 
Property / Symbols used: Q12350 / rank
 
Normal rank
Property / Symbols used: Q12350 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12350 / qualifier
 
xml-id: C29.S1.XMD8.m1edec
Property / Symbols used
 
Property / Symbols used: Q12351 / rank
 
Normal rank
Property / Symbols used: Q12351 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12351 / qualifier
 
xml-id: C29.S1.XMD9.m1edec

Latest 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),}}
    0 references
    DLMF:29.3.E5
    0 references
    ν = 0 , 1 , , m - 1 𝜈 0 1 𝑚 1 {\displaystyle{\displaystyle\nu=0,1,\dots,m-1}}
    0 references
    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
    0 references
    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
    m 𝑚 {\displaystyle{\displaystyle m}}
    C29.S1.XMD1.m1edec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C29.S1.XMD8.m1edec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C29.S1.XMD9.m1edec
    0 references