DLMF:28.20.E22 (Q8357)

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DLMF:28.20.E22
No description defined

    Statements

    Defining formula
    M ν ( j ) ⁡ ( z ± 1 2 ⁢ π ⁢ i , h ) = M ν ( j ) ⁡ ( z , ± i ⁢ h ) , modified-Mathieu-M 𝑗 𝜈 plus-or-minus 𝑧 1 2 𝜋 imaginary-unit ℎ modified-Mathieu-M 𝑗 𝜈 𝑧 plus-or-minus imaginary-unit ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(j)}_{\nu}}\left(z\pm\tfrac{1}{2}\pi% \mathrm{i},h\right)={\mathrm{M}^{(j)}_{\nu}}\left(z,\pm\mathrm{i}h\right),}}
    0 references
    DLMF id
    DLMF:28.20.E22
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    constraint
    ν ∉ ℤ 𝜈 {\displaystyle{\displaystyle\nu\notin\mathbb{Z}}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aldec
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    Q10818
    Defining formula
    ℤ {\displaystyle{\displaystyle\mathbb{Z}}}
    xml-id
    introduction.Sx4.p2.t1.r20.m2adec
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    Q12301
    Defining formula
    M ν ( j ) ⁡ ( z , h ) modified-Mathieu-M 𝑗 𝜈 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(\NVar{j})}_{\NVar{\nu}}}\left(\NVar{% z},\NVar{h}\right)}}
    xml-id
    C28.S20.SS3.p1.m4aidec
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    Q11245
    Defining formula
    ∉ {\displaystyle{\displaystyle\notin}}
    xml-id
    introduction.Sx4.p1.t1.r11.m2adec
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    Q12294
    Defining formula
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C28.S1.XMD11.m1mdec
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    Q12291
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C28.S1.XMD3.m1bdec
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    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1sdec
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    Q12278
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C28.S1.XMD7.m1jdec
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