DLMF:29.15.E32 (Q8777): 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 / 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.m11acdec
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.m1kdec
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.m1mdec
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
Property / Symbols used
 
Property / Symbols used: Q12391 / rank
 
Normal rank
Property / Symbols used: Q12391 / qualifier
 
Defining formula:

H p subscript 𝐻 𝑝 {\displaystyle{\displaystyle H_{p}}}

H_{p}
Property / Symbols used: Q12391 / qualifier
 
xml-id: C29.S15.XMD1.m1fdec

Latest revision as of 01:34, 2 January 2020

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DLMF:29.15.E32
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    Statements

    a ν 2 m + 1 ( k 2 ) = 1 2 ( H m + ν ( ν + 1 ) k 2 ) , Lame-eigenvalue-a 2 𝑚 1 𝜈 superscript 𝑘 2 1 2 subscript 𝐻 𝑚 𝜈 𝜈 1 superscript 𝑘 2 {\displaystyle{\displaystyle a^{2m+1}_{\nu}\left(k^{2}\right)=\tfrac{1}{2}(H_{% m}+\nu(\nu+1)k^{2}),}}
    0 references
    DLMF:29.15.E32
    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.m11acdec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C29.S1.XMD1.m1kdec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C29.S1.XMD8.m1mdec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C29.S1.XMD9.m1edec
    0 references
    H p subscript 𝐻 𝑝 {\displaystyle{\displaystyle H_{p}}}
    C29.S15.XMD1.m1fdec
    0 references