DLMF:28.22.E13 (Q8380)

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DLMF:28.22.E13
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    Statements

    Defining formula
    M ν ( 1 ) ⁡ ( z , h ) = M ν ( 1 ) ⁡ ( 0 , h ) me ν ⁡ ( 0 , h 2 ) ⁢ Me ν ⁡ ( z , h 2 ) . modified-Mathieu-M 1 𝜈 𝑧 ℎ modified-Mathieu-M 1 𝜈 0 ℎ Mathieu-me 𝜈 0 superscript ℎ 2 modified-Mathieu-Me 𝜈 𝑧 superscript ℎ 2 {\displaystyle{\displaystyle{\mathrm{M}^{(1)}_{\nu}}\left(z,h\right)=\frac{{% \mathrm{M}^{(1)}_{\nu}}\left(0,h\right)}{\mathrm{me}_{\nu}\left(0,h^{2}\right)% }\mathrm{Me}_{\nu}\left(z,h^{2}\right).}}
    0 references
    DLMF id
    DLMF:28.22.E13
    0 references
    Symbols used
    Q12299
    Defining formula
    me n ⁡ ( z , q ) Mathieu-me 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S12.SS2.p2.m2adec
    0 references
    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.m4adec
    0 references
    modified Mathieu function
    Defining formula
    Me ν ⁡ ( z , q ) modified-Mathieu-Me 𝜈 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{Me}_{\NVar{\nu}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S20.E5.m2adec
    0 references
    Q12294
    Defining formula
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C28.S1.XMD11.m1ldec
    0 references
    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1ddec
    0 references
    Q12278
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C28.S1.XMD7.m1dec
    0 references
     
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