DLMF:28.14.E4 (Q8317): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12278 / rank
 
Normal rank
Property / Symbols used: Q12278 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12278 / qualifier
 
xml-id: C28.S1.XMD7.m1cdec

Revision as of 14:57, 2 January 2020

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DLMF:28.14.E4
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    Statements

    Defining formula
    q ⁢ c 2 ⁢ m + 2 - ( a - ( ν + 2 ⁢ m ) 2 ) ⁢ c 2 ⁢ m + q ⁢ c 2 ⁢ m - 2 = 0 , 𝑞 subscript 𝑐 2 𝑚 2 𝑎 superscript 𝜈 2 𝑚 2 subscript 𝑐 2 𝑚 𝑞 subscript 𝑐 2 𝑚 2 0 {\displaystyle{\displaystyle{qc_{2m+2}-\left(a-(\nu+2m)^{2}\right)c_{2m}+qc_{2% m-2}=0},}}
    0 references
    DLMF id
    DLMF:28.14.E4
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    a = λ ν ⁡ ( q ) , c 2 ⁢ m = c 2 ⁢ m ν ⁢ ( q ) formulae-sequence 𝑎 Mathieu-eigenvalue-lambda 𝜈 𝑞 subscript 𝑐 2 𝑚 superscript subscript 𝑐 2 𝑚 𝜈 𝑞 {\displaystyle{\displaystyle a=\lambda_{\nu}\left(q\right),c_{2m}=c_{2m}^{\nu}% (q)}}
    0 references
    Symbols used
    Q12298
    Defining formula
    λ ν + 2 ⁢ n ⁡ ( q ) Mathieu-eigenvalue-lambda 𝜈 2 𝑛 𝑞 {\displaystyle{\displaystyle\lambda_{\NVar{\nu+2n}}\left(\NVar{q}\right)}}
    xml-id
    C28.S12.SS1.p2.m5adec
    0 references
    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1cdec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1cdec
    0 references
    Q12278
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C28.S1.XMD7.m1cdec
    0 references
     
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