DLMF:28.5.E9 (Q8234)

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DLMF:28.5.E9
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    Statements

    Defining formula
    𝒲 ⁑ { se n , ge n } = - se n β€² ⁑ ( 0 , q ) ⁒ ge n ⁑ ( 0 , q ) . Wronskian Mathieu-se 𝑛 Mathieu-ge 𝑛 diffop Mathieu-se 𝑛 1 0 π‘ž Mathieu-ge 𝑛 0 π‘ž {\displaystyle{\displaystyle\mathscr{W}\left\{\mathrm{se}_{n},\mathrm{ge}_{n}% \right\}=-\mathrm{se}_{n}'\left(0,q\right)\mathrm{ge}_{n}\left(0,q\right).}}
    0 references
    DLMF id
    DLMF:28.5.E9
    0 references
    Symbols used
    second solution, Mathieu’s equation
    Defining formula
    ge n ⁑ ( z , q ) Mathieu-ge 𝑛 𝑧 π‘ž {\displaystyle{\displaystyle\mathrm{ge}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S5.E2.m2abdec
    0 references
    Q12286
    Defining formula
    se n ⁑ ( z , q ) Mathieu-se 𝑛 𝑧 π‘ž {\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S2.SS6.p1.m8aadec
    0 references
    Q10865
    Defining formula
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3aadec
    0 references
    Q12271
    Defining formula
    q = h 2 π‘ž superscript β„Ž 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1gdec
    0 references
    Q12279
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C28.S1.XMD2.m1gdec
    0 references
     
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