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DLMF:23.10.E15 - MaRDI portal
Statements
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),}}
π
{\displaystyle{\displaystyle\pi}}
exp
z
𝑧
{\displaystyle{\displaystyle\exp\NVar{z}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
q
𝑞
{\displaystyle{\displaystyle q}}
n
𝑛
{\displaystyle{\displaystyle n}}
ω
1
subscript
𝜔
1
{\displaystyle{\displaystyle\omega_{1}}}
A
n
subscript
𝐴
𝑛
{\displaystyle{\displaystyle A_{n}}}
G
𝐺
{\displaystyle{\displaystyle G}}
η
j
subscript
𝜂
𝑗
{\displaystyle{\displaystyle\eta_{j}}}
Identifiers