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DLMF:18.5#Ex27
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Formula:6245
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MaRDI QID
Q6245
Label: DLMF:18.5#Ex27
Digital Library of Mathematical Functions ID
18.5#Ex27
L
5
(
x
)
=
-
1
120
x
5
+
5
24
x
4
-
5
3
x
3
+
5
x
2
-
5
x
+
1
,
shorthand-Laguerre-polynomial-L
5
𝑥
1
120
superscript
𝑥
5
5
24
superscript
𝑥
4
5
3
superscript
𝑥
3
5
superscript
𝑥
2
5
𝑥
1
{\displaystyle{\displaystyle L_{5}\left(x\right)=-\tfrac{1}{120}x^{5}+\tfrac{5% }{24}x^{4}-\tfrac{5}{3}x^{3}+5x^{2}-5x+1,}}
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