DLMF:28.28.E2 (Q8423)

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DLMF:28.28.E2
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    Defining formula
    1 2 ⁢ π ⁢ ∫ 0 2 ⁢ π e 2 ⁢ i ⁢ h ⁢ w ⁢ ce n ⁡ ( t , h 2 ) ⁢ d t = i n ⁢ ce n ⁡ ( α , h 2 ) ⁢ Mc n ( 1 ) ⁡ ( z , h ) , 1 2 𝜋 superscript subscript 0 2 𝜋 superscript 𝑒 2 imaginary-unit ℎ 𝑤 Mathieu-ce 𝑛 𝑡 superscript ℎ 2 𝑡 imaginary-unit 𝑛 Mathieu-ce 𝑛 𝛼 superscript ℎ 2 modified-Mathieu-Mc 1 𝑛 𝑧 ℎ {\displaystyle{\displaystyle\dfrac{1}{2\pi}\int_{0}^{2\pi}e^{2\mathrm{i}hw}% \mathrm{ce}_{n}\left(t,h^{2}\right)\mathrm{d}t={\mathrm{i}^{n}}\mathrm{ce}_{n}% \left(\alpha,h^{2}\right){\mathrm{Mc}^{(1)}_{n}}\left(z,h\right),}}
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    DLMF id
    DLMF:28.28.E2
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