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Statements
d
n
d
z
n
(
e
-
1
2
z
z
μ
-
1
2
M
κ
,
μ
(
z
)
)
=
(
-
1
)
n
(
-
2
μ
)
n
e
-
1
2
z
z
μ
-
1
2
(
n
+
1
)
M
κ
+
1
2
n
,
μ
-
1
2
n
(
z
)
,
derivative
𝑧
𝑛
superscript
𝑒
1
2
𝑧
superscript
𝑧
𝜇
1
2
Whittaker-confluent-hypergeometric-M
𝜅
𝜇
𝑧
superscript
1
𝑛
Pochhammer
2
𝜇
𝑛
superscript
𝑒
1
2
𝑧
superscript
𝑧
𝜇
1
2
𝑛
1
Whittaker-confluent-hypergeometric-M
𝜅
1
2
𝑛
𝜇
1
2
𝑛
𝑧
{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n}}{{\mathrm{d}z}^{n}}\left(e^%
{-\frac{1}{2}z}z^{\mu-\frac{1}{2}}M_{\kappa,\mu}\left(z\right)\right)=(-1)^{n}%
{\left(-2\mu\right)_{n}}e^{-\frac{1}{2}z}z^{\mu-\frac{1}{2}(n+1)}M_{\kappa+%
\frac{1}{2}n,\mu-\frac{1}{2}n}\left(z\right),}}
(
a
)
n
Pochhammer
𝑎
𝑛
{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
M
κ
,
μ
(
z
)
Whittaker-confluent-hypergeometric-M
𝜅
𝜇
𝑧
{\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
d
f
d
x
derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
n
𝑛
{\displaystyle{\displaystyle n}}
z
𝑧
{\displaystyle{\displaystyle z}}
Identifiers
