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Statements
W
-
κ
,
μ
(
4
κ
x
)
=
8
/
π
e
κ
κ
κ
-
1
2
(
x
ζ
1
+
x
)
1
4
K
2
μ
(
4
κ
ζ
1
2
)
(
1
+
O
(
κ
-
1
)
)
,
Whittaker-confluent-hypergeometric-W
𝜅
𝜇
4
𝜅
𝑥
8
𝜋
superscript
𝑒
𝜅
superscript
𝜅
𝜅
1
2
superscript
𝑥
𝜁
1
𝑥
1
4
modified-Bessel-second-kind
2
𝜇
4
𝜅
superscript
𝜁
1
2
1
Big-O
superscript
𝜅
1
{\displaystyle{\displaystyle W_{-\kappa,\mu}\left(4\kappa x\right)=\frac{\sqrt%
{8/\pi}e^{\kappa}}{\kappa^{\kappa-\frac{1}{2}}}\left(\frac{x\zeta}{1+x}\right)%
^{\frac{1}{4}}K_{2\mu}\left(4\kappa\zeta^{\frac{1}{2}}\right){\left(1+O\left(%
\kappa^{-1}\right)\right)},}}
O
(
x
)
Big-O
𝑥
{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
W
κ
,
μ
(
z
)
Whittaker-confluent-hypergeometric-W
𝜅
𝜇
𝑧
{\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
K
ν
(
z
)
modified-Bessel-second-kind
𝜈
𝑧
{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
x
𝑥
{\displaystyle{\displaystyle x}}
Identifiers
