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Statements
F
ℓ
(
η
,
ρ
)
=
C
ℓ
(
η
)
ρ
ℓ
+
1
e
∓
i
ρ
M
(
ℓ
+
1
∓
i
η
,
2
ℓ
+
2
,
±
2
i
ρ
)
,
regular-Coulomb-F
ℓ
𝜂
𝜌
Coulomb-C
ℓ
𝜂
superscript
𝜌
ℓ
1
superscript
𝑒
minus-or-plus
imaginary-unit
𝜌
Kummer-confluent-hypergeometric-M
minus-or-plus
ℓ
1
imaginary-unit
𝜂
2
ℓ
2
plus-or-minus
2
imaginary-unit
𝜌
{\displaystyle{\displaystyle F_{\ell}\left(\eta,\rho\right)=C_{\ell}\left(\eta%
\right)\rho^{\ell+1}e^{\mp\mathrm{i}\rho}M\left(\ell+1\mp\mathrm{i}\eta,2\ell+%
2,\pm 2\mathrm{i}\rho\right),}}
C
ℓ
(
η
)
Coulomb-C
ℓ
𝜂
{\displaystyle{\displaystyle C_{\NVar{\ell}}\left(\NVar{\eta}\right)}}
M
(
a
,
b
,
z
)
Kummer-confluent-hypergeometric-M
𝑎
𝑏
𝑧
{\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
F
ℓ
(
η
,
ρ
)
regular-Coulomb-F
ℓ
𝜂
𝜌
{\displaystyle{\displaystyle F_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}%
\right)}}
ℓ
ℓ
{\displaystyle{\displaystyle\ell}}
ρ
𝜌
{\displaystyle{\displaystyle\rho}}
η
𝜂
{\displaystyle{\displaystyle\eta}}
Identifiers
