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DLMF:29.18.E5
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Formula:9498
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MaRDI QID
Q9498
Label: DLMF:29.18.E5
Digital Library of Mathematical Functions ID
29.18.E5
d
d
r
(
r
2
d
u
1
d
r
)
+
(
ω
2
r
2
-
ν
(
ν
+
1
)
)
u
1
=
0
,
derivative
𝑟
superscript
𝑟
2
derivative
subscript
𝑢
1
𝑟
superscript
𝜔
2
superscript
𝑟
2
𝜈
𝜈
1
subscript
𝑢
1
0
{\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}r}\left(r^{2}\frac{% \mathrm{d}u_{1}}{\mathrm{d}r}\right)+(\omega^{2}r^{2}-\nu(\nu+1))u_{1}=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 $$x$$
ν
𝜈
{\displaystyle{\displaystyle\nu}}
: real parameter
ω
𝜔
{\displaystyle{\displaystyle\omega}}
: parameter
r
𝑟
{\displaystyle{\displaystyle r}}
: sphero-conal coordinate
u
j
subscript
𝑢
𝑗
{\displaystyle{\displaystyle u_{j}}}
: solutions
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