DLMF:29.15.E12 (Q8757)

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DLMF:29.15.E12
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    Statements

    Defining formula
    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 id
    DLMF:29.15.E12
    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.m11aadec
    0 references
    Q12357
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C29.S1.XMD1.m1cdec
    0 references
    Q12350
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1cdec
    0 references
    Q12351
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1adec
    0 references
    Q12391
    Defining formula
    H p subscript 𝐻 𝑝 {\displaystyle{\displaystyle H_{p}}}
    xml-id
    C29.S15.XMD1.m1bdec
    0 references
     
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