DLMF:28.22.E14 (Q8381)

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DLMF:28.22.E14
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    Statements

    Defining formula
    M ν ( 2 ) ⁡ ( z , h ) = cot ⁡ ( ν ⁢ π ) ⁢ M ν ( 1 ) ⁡ ( z , h ) - 1 sin ⁡ ( ν ⁢ π ) ⁢ M - ν ( 1 ) ⁡ ( z , h ) . modified-Mathieu-M 2 𝜈 𝑧 ℎ 𝜈 𝜋 modified-Mathieu-M 1 𝜈 𝑧 ℎ 1 𝜈 𝜋 modified-Mathieu-M 1 𝜈 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(2)}_{\nu}}\left(z,h\right)=\cot\left% (\nu\pi\right){\mathrm{M}^{(1)}_{\nu}}\left(z,h\right)-\frac{1}{\sin\left(\nu% \pi\right)}{\mathrm{M}^{(1)}_{-\nu}}\left(z,h\right).}}
    0 references
    DLMF id
    DLMF:28.22.E14
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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.m2aldec
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    cotangent function
    Defining formula
    cot ⁡ z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}}
    xml-id
    C4.S14.E7.m2adec
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