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DLMF:28.6.E6 - MaRDI portal

DLMF:28.6.E6 (Q8933)

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DLMF:28.6.E6
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    Statements

    DLMF defining formula
    a 3 ⁡ ( q ) = 9 + 1 16 ⁢ q 2 + 1 64 ⁢ q 3 + 13 20480 ⁢ q 4 - 5 16384 ⁢ q 5 - 1961 235 92960 ⁢ q 6 - 609 1048 57600 ⁢ q 7 + ⋯ , Mathieu-eigenvalue-a 3 𝑞 9 1 16 superscript 𝑞 2 1 64 superscript 𝑞 3 13 20480 superscript 𝑞 4 5 16384 superscript 𝑞 5 1961 235 92960 superscript 𝑞 6 609 1048 57600 superscript 𝑞 7 ⋯ {\displaystyle{\displaystyle a_{3}\left(q\right)=9+\tfrac{1}{16}q^{2}+\tfrac{1% }{64}q^{3}+\tfrac{13}{20480}q^{4}-\tfrac{5}{16384}q^{5}-\tfrac{1961}{235\;9296% 0}q^{6}-\tfrac{609}{1048\;57600}q^{7}+\cdots,}}
    0 references
    Symbols used
    Q12284
    DLMF defining formula
    a n ⁡ ( q ) Mathieu-eigenvalue-a 𝑛 𝑞 {\displaystyle{\displaystyle a_{\NVar{n}}\left(\NVar{q}\right)}}
    xml-id
    C28.S2.SS5.p1.m3acdec
    0 references
    parameter
    DLMF defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1edec
    0 references

    Identifiers

     
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