DLMF:23.10.E15 (Q7313)

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DLMF:23.10.E15
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    A n = ( π 2 G 2 ω 1 ) n 2 - 1 q n ( n - 1 ) / 2 i n - 1 exp ( - ( n - 1 ) η 1 3 ω 1 ( ( 2 n - 1 ) ( ω 1 2 + ω 3 2 ) + 3 ( n - 1 ) ω 1 ω 3 ) ) , subscript 𝐴 𝑛 superscript superscript 𝜋 2 superscript 𝐺 2 subscript 𝜔 1 superscript 𝑛 2 1 superscript 𝑞 𝑛 𝑛 1 2 superscript 𝑖 𝑛 1 𝑛 1 subscript 𝜂 1 3 subscript 𝜔 1 2 𝑛 1 superscript subscript 𝜔 1 2 superscript subscript 𝜔 3 2 3 𝑛 1 subscript 𝜔 1 subscript 𝜔 3 {\displaystyle{\displaystyle A_{n}=\left(\frac{\pi^{2}G^{2}}{\omega_{1}}\right% )^{n^{2}-1}\frac{q^{n(n-1)/2}}{i^{n-1}}\exp\left(-\frac{(n-1)\eta_{1}}{3\omega% _{1}}\left((2n-1)(\omega_{1}^{2}+\omega_{3}^{2})+3(n-1)\omega_{1}\omega_{3}% \right)\right),}}
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    DLMF:23.10.E15
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