DLMF:28.19.E4 (Q8332)

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DLMF:28.19.E4
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    Defining formula
    e i ⁢ ν ⁢ z = ∑ n = - ∞ ∞ c - 2 ⁢ n ν + 2 ⁢ n ⁢ ( q ) ⁢ me ν + 2 ⁢ n ⁡ ( z , q ) , superscript 𝑒 imaginary-unit 𝜈 𝑧 superscript subscript 𝑛 subscript superscript 𝑐 𝜈 2 𝑛 2 𝑛 𝑞 Mathieu-me 𝜈 2 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle e^{\mathrm{i}\nu z}=\sum_{n=-\infty}^{\infty}c^{% \nu+2n}_{-2n}(q)\mathrm{me}_{\nu+2n}\left(z,q\right),}}
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    DLMF id
    DLMF:28.19.E4
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