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Statements
d
n
d
z
n
(
e
1
2
z
z
μ
-
1
2
W
κ
,
μ
(
z
)
)
=
(
-
1
)
n
(
1
2
-
μ
-
κ
)
n
e
1
2
z
z
μ
-
1
2
(
n
+
1
)
W
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-W
𝜅
𝜇
𝑧
superscript
1
𝑛
Pochhammer
1
2
𝜇
𝜅
𝑛
superscript
𝑒
1
2
𝑧
superscript
𝑧
𝜇
1
2
𝑛
1
Whittaker-confluent-hypergeometric-W
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}}W_{\kappa,\mu}\left(z\right)\right)=(-1)^{n}{%
\left(\tfrac{1}{2}-\mu-\kappa\right)_{n}}e^{\frac{1}{2}z}z^{\mu-\frac{1}{2}(n+%
1)}\*W_{\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}}}}}
W
κ
,
μ
(
z
)
Whittaker-confluent-hypergeometric-W
𝜅
𝜇
𝑧
{\displaystyle{\displaystyle W_{\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
