DLMF:28.12.E13 (Q8311)

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DLMF:28.12.E13
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    Statements

    Defining formula
    se ν ⁡ ( z , q ) = - 1 2 ⁢ i ⁢ ( me ν ⁡ ( z , q ) - me ν ⁡ ( - z , q ) ) . Mathieu-se 𝜈 𝑧 𝑞 1 2 imaginary-unit Mathieu-me 𝜈 𝑧 𝑞 Mathieu-me 𝜈 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\nu}\left(z,q\right)=-\tfrac{1}{2}% \mathrm{i}\left(\mathrm{me}_{\nu}\left(z,q\right)-\mathrm{me}_{\nu}\left(-z,q% \right)\right).}}
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    DLMF id
    DLMF:28.12.E13
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