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Statements
i
n
erfc
(
z
)
=
e
-
z
2
(
1
2
n
Γ
(
1
2
n
+
1
)
M
(
1
2
n
+
1
2
,
1
2
,
z
2
)
-
z
2
n
-
1
Γ
(
1
2
n
+
1
2
)
M
(
1
2
n
+
1
,
3
2
,
z
2
)
)
,
repeated-integral-complementary-error-function
𝑛
𝑧
superscript
𝑒
superscript
𝑧
2
1
superscript
2
𝑛
Euler-Gamma
1
2
𝑛
1
Kummer-confluent-hypergeometric-M
1
2
𝑛
1
2
1
2
superscript
𝑧
2
𝑧
superscript
2
𝑛
1
Euler-Gamma
1
2
𝑛
1
2
Kummer-confluent-hypergeometric-M
1
2
𝑛
1
3
2
superscript
𝑧
2
{\displaystyle{\displaystyle\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(z\right)%
=e^{-z^{2}}\left(\frac{1}{2^{n}\Gamma\left(\tfrac{1}{2}n+1\right)}M\left(%
\tfrac{1}{2}n+\tfrac{1}{2},\tfrac{1}{2},z^{2}\right)-\frac{z}{2^{n-1}\Gamma%
\left(\tfrac{1}{2}n+\tfrac{1}{2}\right)}M\left(\tfrac{1}{2}n+1,\tfrac{3}{2},z^%
{2}\right)\right),}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\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
n
erfc
(
z
)
repeated-integral-complementary-error-function
𝑛
𝑧
{\displaystyle{\displaystyle\mathop{\mathrm{i}^{\NVar{n}}\mathrm{erfc}}\left(%
\NVar{z}\right)}}
z
𝑧
{\displaystyle{\displaystyle z}}
n
𝑛
{\displaystyle{\displaystyle n}}
Identifiers
