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Statements
W
κ
,
μ
(
z
)
=
Γ
(
2
μ
)
Γ
(
1
2
+
μ
-
κ
)
z
1
2
-
μ
+
Γ
(
-
2
μ
)
Γ
(
1
2
-
μ
-
κ
)
z
1
2
+
μ
+
O
(
z
3
2
-
ℜ
μ
)
,
Whittaker-confluent-hypergeometric-W
𝜅
𝜇
𝑧
Euler-Gamma
2
𝜇
Euler-Gamma
1
2
𝜇
𝜅
superscript
𝑧
1
2
𝜇
Euler-Gamma
2
𝜇
Euler-Gamma
1
2
𝜇
𝜅
superscript
𝑧
1
2
𝜇
Big-O
superscript
𝑧
3
2
𝜇
{\displaystyle{\displaystyle W_{\kappa,\mu}\left(z\right)=\frac{\Gamma\left(2%
\mu\right)}{\Gamma\left(\frac{1}{2}+\mu-\kappa\right)}z^{\frac{1}{2}-\mu}+%
\frac{\Gamma\left(-2\mu\right)}{\Gamma\left(\frac{1}{2}-\mu-\kappa\right)}z^{%
\frac{1}{2}+\mu}+O\left(z^{\frac{3}{2}-\Re\mu}\right),}}
0
≤
ℜ
μ
<
1
2
0
𝜇
1
2
{\displaystyle{\displaystyle 0\leq\Re\mu<\tfrac{1}{2}}}
0
≤
ℜ
μ
<
1
2
0
𝜇
1
2
{\displaystyle{\displaystyle 0\leq\Re\mu<\tfrac{1}{2}}}
μ
≠
0
𝜇
0
{\displaystyle{\displaystyle\mu\not=0}}
O
(
x
)
Big-O
𝑥
{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
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)}}
ℜ
absent
{\displaystyle{\displaystyle\Re}}
z
𝑧
{\displaystyle{\displaystyle z}}
Identifiers
