DLMF:28.20.E4 (Q8336)

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DLMF:28.20.E4
No description defined

    Statements

    Defining formula
    Se ν ⁡ ( z , q ) = ∓ i ⁢ se ν ⁡ ( ± i ⁢ z , q ) , modified-Mathieu-Se 𝜈 𝑧 𝑞 minus-or-plus imaginary-unit Mathieu-se 𝜈 plus-or-minus imaginary-unit 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{Se}_{\nu}\left(z,q\right)=\mp\mathrm{i}% \mathrm{se}_{\nu}\left(\pm\mathrm{i}z,q\right),}}
    0 references
    DLMF id
    DLMF:28.20.E4
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    constraint
    ν ≠ 0 , - 1 , … 𝜈 0 1 … {\displaystyle{\displaystyle\nu\neq 0,-1,\dots}}
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    Symbols used
    Q12286
    Defining formula
    se n ⁡ ( z , q ) Mathieu-se 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S2.SS6.p1.m8adec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
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    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1cdec
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    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1cdec
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    Q12278
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C28.S1.XMD7.m1adec
    0 references
     
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