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DLMF:28.2.E2 - MaRDI portal

DLMF:28.2.E2 (Q8836)

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DLMF:28.2.E2
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    Statements

    DLMF defining formula
    ζ ⁢ ( 1 - ζ ) ⁢ w ′′ + 1 2 ⁢ ( 1 - 2 ⁢ ζ ) ⁢ w ′ + 1 4 ⁢ ( a - 2 ⁢ q ⁢ ( 1 - 2 ⁢ ζ ) ) ⁢ w = 0 . 𝜁 1 𝜁 superscript 𝑤 ′′ 1 2 1 2 𝜁 superscript 𝑤 ′ 1 4 𝑎 2 𝑞 1 2 𝜁 𝑤 0 {\displaystyle{\displaystyle\zeta(1-\zeta)w^{\prime\prime}+\tfrac{1}{2}\left(1% -2\zeta)w^{\prime}+\tfrac{1}{4}(a-2q(1-2\zeta)\right)w=0.}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    parameter
    DLMF defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1adec
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    parameter
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C28.S1.XMD9.m1adec
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    Mathieu’s equation solution
    DLMF defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C28.S2.XMD1.m1adec
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    change of variable
    DLMF defining formula
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C28.S2.XMD2.m1dec
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    Identifiers

     
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