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Statements
W
κ
,
μ
(
z
)
=
2
z
e
-
1
2
z
Γ
(
1
2
+
μ
-
κ
)
Γ
(
1
2
-
μ
-
κ
)
∫
0
∞
e
-
t
t
-
κ
-
1
2
K
2
μ
(
2
z
t
)
d
t
,
Whittaker-confluent-hypergeometric-W
𝜅
𝜇
𝑧
2
𝑧
superscript
𝑒
1
2
𝑧
Euler-Gamma
1
2
𝜇
𝜅
Euler-Gamma
1
2
𝜇
𝜅
superscript
subscript
0
superscript
𝑒
𝑡
superscript
𝑡
𝜅
1
2
modified-Bessel-second-kind
2
𝜇
2
𝑧
𝑡
𝑡
{\displaystyle{\displaystyle W_{\kappa,\mu}\left(z\right)=\frac{2\sqrt{z}e^{-%
\frac{1}{2}z}}{\Gamma\left(\frac{1}{2}+\mu-\kappa\right)\Gamma\left(\frac{1}{2%
}-\mu-\kappa\right)}\*\int_{0}^{\infty}e^{-t}t^{-\kappa-\frac{1}{2}}K_{2\mu}%
\left(2\sqrt{zt}\right)\mathrm{d}t,}}
ℜ
(
μ
-
κ
)
+
1
2
>
0
𝜇
𝜅
1
2
0
{\displaystyle{\displaystyle\Re(\mu-\kappa)+\tfrac{1}{2}>0}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
W
κ
,
μ
(
z
)
Whittaker-confluent-hypergeometric-W
𝜅
𝜇
𝑧
{\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
∫
{\displaystyle{\displaystyle\int}}
K
ν
(
z
)
modified-Bessel-second-kind
𝜈
𝑧
{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
ℜ
absent
{\displaystyle{\displaystyle\Re}}
z
𝑧
{\displaystyle{\displaystyle z}}
Identifiers
