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Statements
F
0
(
η
,
2
η
)
3
-
1
/
2
G
0
(
η
,
2
η
)
∼
Γ
(
1
3
)
ω
1
/
2
2
π
(
1
∓
2
35
Γ
(
2
3
)
Γ
(
1
3
)
1
ω
4
-
8
2025
1
ω
6
∓
5792
46 06875
Γ
(
2
3
)
Γ
(
1
3
)
1
ω
10
-
⋯
)
,
asymptotic-expansion
FRACOP
regular-Coulomb-F
0
𝜂
2
𝜂
superscript
3
1
2
irregular-Coulomb-G
0
𝜂
2
𝜂
Euler-Gamma
1
3
superscript
𝜔
1
2
2
𝜋
minus-or-plus
minus-or-plus
1
2
35
Euler-Gamma
2
3
Euler-Gamma
1
3
1
superscript
𝜔
4
8
2025
1
superscript
𝜔
6
5792
46 06875
Euler-Gamma
2
3
Euler-Gamma
1
3
1
superscript
𝜔
10
⋯
{\displaystyle{\displaystyle{F_{0}\left(\eta,2\eta\right)\atop{3^{-\ifrac{1}{2%
}}G_{0}\left(\eta,2\eta\right)}}\sim\frac{\Gamma\left(\frac{1}{3}\right)\omega%
^{1/2}}{2\sqrt{\pi}}\left(1\mp\frac{2}{35}\frac{\Gamma\left(\frac{2}{3}\right)%
}{\Gamma\left(\frac{1}{3}\right)}\frac{1}{\omega^{4}}-\frac{8}{2025}\frac{1}{%
\omega^{6}}\mp\frac{5792}{46\,06875}\frac{\Gamma\left(\frac{2}{3}\right)}{%
\Gamma\left(\frac{1}{3}\right)}\frac{1}{\omega^{10}}-\cdots\right),}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
G
ℓ
(
η
,
ρ
)
irregular-Coulomb-G
ℓ
𝜂
𝜌
{\displaystyle{\displaystyle G_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}%
\right)}}
F
ℓ
(
η
,
ρ
)
regular-Coulomb-F
ℓ
𝜂
𝜌
{\displaystyle{\displaystyle F_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}%
\right)}}
η
𝜂
{\displaystyle{\displaystyle\eta}}
ω
𝜔
{\displaystyle{\displaystyle\omega}}
Identifiers
