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DLMF:28.6.E2 - MaRDI portal

DLMF:28.6.E2 (Q8929)

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DLMF:28.6.E2
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    Statements

    DLMF defining formula
    a 1 ⁡ ( q ) = 1 + q - 1 8 ⁢ q 2 - 1 64 ⁢ q 3 - 1 1536 ⁢ q 4 + 11 36864 ⁢ q 5 + 49 5 89824 ⁢ q 6 + 55 94 37184 ⁢ q 7 - 83 353 89440 ⁢ q 8 + ⋯ , Mathieu-eigenvalue-a 1 𝑞 1 𝑞 1 8 superscript 𝑞 2 1 64 superscript 𝑞 3 1 1536 superscript 𝑞 4 11 36864 superscript 𝑞 5 49 5 89824 superscript 𝑞 6 55 94 37184 superscript 𝑞 7 83 353 89440 superscript 𝑞 8 ⋯ {\displaystyle{\displaystyle a_{1}\left(q\right)=1+q-\tfrac{1}{8}q^{2}-\tfrac{% 1}{64}q^{3}-\tfrac{1}{1536}q^{4}+\tfrac{11}{36864}q^{5}+\tfrac{49}{5\;89824}q^% {6}+\tfrac{55}{94\;37184}q^{7}-\tfrac{83}{353\;89440}q^{8}+\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.m3aadec
    0 references
    parameter
    DLMF defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1adec
    0 references

    Identifiers

     
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