DLMF:28.4#Ex9 (Q8198)

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DLMF:28.4#Ex9
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    Statements

    Defining formula
    ( a - 4 ⁢ m 2 ) ⁢ B 2 ⁢ m - q ⁢ ( B 2 ⁢ m - 2 + B 2 ⁢ m + 2 ) = 0 𝑎 4 superscript 𝑚 2 subscript 𝐵 2 𝑚 𝑞 subscript 𝐵 2 𝑚 2 subscript 𝐵 2 𝑚 2 0 {\displaystyle{\displaystyle(a-4m^{2})B_{2m}-q(B_{2m-2}+B_{2m+2})=0}}
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    DLMF id
    DLMF:28.4#Ex9
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    comment
    Warning: Falling back to standard tex;
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    constraint
    a = b 2 ⁢ n + 2 ⁡ ( q ) 𝑎 Mathieu-eigenvalue-b 2 𝑛 2 𝑞 {\displaystyle{\displaystyle a=b_{2n+2}\left(q\right)}}
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    a = b 2 ⁢ n + 2 ⁢ ( q ) 𝑎 subscript 𝑏 2 𝑛 2 𝑞 {\displaystyle{\displaystyle a=b_{2n+2}\left(q\right)}}
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    B 2 ⁢ m + 2 = B 2 ⁢ m + 2 2 ⁢ n + 2 ⁢ ( q ) . subscript 𝐵 2 𝑚 2 superscript subscript 𝐵 2 𝑚 2 2 𝑛 2 𝑞 {\displaystyle{\displaystyle B_{2m+2}=B_{2m+2}^{2n+2}(q).}}
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