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DLMF:10.47.E1
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MaRDI QID
Q4366
Label: DLMF:10.47.E1
Digital Library of Mathematical Functions ID
10.47.E1
z
2
d
2
w
d
z
2
+
2
z
d
w
d
z
+
(
z
2
-
n
(
n
+
1
)
)
w
=
0
,
superscript
𝑧
2
derivative
𝑤
𝑧
2
2
𝑧
derivative
𝑤
𝑧
superscript
𝑧
2
𝑛
𝑛
1
𝑤
0
{\displaystyle{\displaystyle z^{2}\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+% 2z\frac{\mathrm{d}w}{\mathrm{d}z}+\left(z^{2}-n(n+1)\right)w=0,}}
Constraint(s)
Symbols List
d
f
d
x
derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
: derivative of $$f$$ with respect to $$x$$
n
𝑛
{\displaystyle{\displaystyle n}}
: integer
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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