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Statements
G
ℓ
(
η
,
ρ
)
∼
ρ
-
ℓ
(
ℓ
+
1
2
)
λ
ℓ
(
η
)
C
ℓ
(
η
)
∑
k
=
2
ℓ
+
1
∞
(
-
1
)
k
b
k
t
k
/
2
K
k
(
2
t
)
,
asymptotically-equals
irregular-Coulomb-G
ℓ
𝜂
𝜌
superscript
𝜌
ℓ
ℓ
1
2
subscript
𝜆
ℓ
𝜂
Coulomb-C
ℓ
𝜂
superscript
subscript
𝑘
2
ℓ
1
superscript
1
𝑘
subscript
𝑏
𝑘
superscript
𝑡
𝑘
2
modified-Bessel-second-kind
𝑘
2
𝑡
{\displaystyle{\displaystyle G_{\ell}\left(\eta,\rho\right)\sim\frac{\rho^{-%
\ell}}{(\ell+\frac{1}{2})\lambda_{\ell}(\eta)C_{\ell}\left(\eta\right)}\*\sum_%
{k=2\ell+1}^{\infty}(-1)^{k}b_{k}t^{k/2}K_{k}\left(\textstyle 2\sqrt{t}\right)%
,}}
C
ℓ
(
η
)
Coulomb-C
ℓ
𝜂
{\displaystyle{\displaystyle C_{\NVar{\ell}}\left(\NVar{\eta}\right)}}
∼
asymptotically-equals
{\displaystyle{\displaystyle\sim}}
G
ℓ
(
η
,
ρ
)
irregular-Coulomb-G
ℓ
𝜂
𝜌
{\displaystyle{\displaystyle G_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}%
\right)}}
K
ν
(
z
)
modified-Bessel-second-kind
𝜈
𝑧
{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
k
𝑘
{\displaystyle{\displaystyle k}}
ℓ
ℓ
{\displaystyle{\displaystyle\ell}}
ρ
𝜌
{\displaystyle{\displaystyle\rho}}
η
𝜂
{\displaystyle{\displaystyle\eta}}
t
𝑡
{\displaystyle{\displaystyle t}}
b
k
subscript
𝑏
𝑘
{\displaystyle{\displaystyle b_{k}}}
λ
ℓ
(
η
)
subscript
𝜆
ℓ
𝜂
{\displaystyle{\displaystyle\lambda_{\ell}(\eta)}}
Identifiers
