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DLMF:29.3.E6 - MaRDI portal

DLMF:29.3.E6 (Q9285)

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DLMF:29.3.E6
No description defined

    Statements

    DLMF 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
    Symbols used
    Q12359
    DLMF 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
    Q12361
    DLMF 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
    nonnegative integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C29.S1.XMD1.m1fdec
    0 references
    real parameter
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1fdec
    0 references
    real parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1fdec
    0 references

    Identifiers

     
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