DLMF:29.3.E6 (Q8593): 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.m12aedec

Revision as of 15:44, 2 January 2020

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DLMF:29.3.E6
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    Statements

    Defining formula
    ( a ν m ⁡ ( k 2 ) - b ν m ⁡ ( k 2 ) ) ⁢ ν ⁢ ( ν - 1 ) ⁢ ⋯ ⁢ ( ν - m + 1 ) > 0 . Lame-eigenvalue-a 𝑚 𝜈 superscript 𝑘 2 Lame-eigenvalue-b 𝑚 𝜈 superscript 𝑘 2 𝜈 𝜈 1 ⋯ 𝜈 𝑚 1 0 {\displaystyle{\displaystyle\left(a^{m}_{\nu}\left(k^{2}\right)-b^{m}_{\nu}% \left(k^{2}\right)\right)\nu(\nu-1)\cdots(\nu-m+1)>0.}}
    0 references
    DLMF id
    DLMF:29.3.E6
    0 references
    Symbols used
    Q12356
    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% )}}
    xml-id
    C29.S3.SS1.p1.m11aedec
    0 references
    Q12358
    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% )}}
    xml-id
    C29.S3.SS1.p1.m12aedec
    0 references
     
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