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DLMF:10.12#Ex7
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Formula:3822
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MaRDI QID
Q3822
Label: DLMF:10.12#Ex7
Digital Library of Mathematical Functions ID
10.12#Ex7
1
2
z
cos
z
=
J
1
(
z
)
-
9
J
3
(
z
)
+
25
J
5
(
z
)
-
49
J
7
(
z
)
+
⋯
,
1
2
𝑧
𝑧
Bessel-J
1
𝑧
9
Bessel-J
3
𝑧
25
Bessel-J
5
𝑧
49
Bessel-J
7
𝑧
⋯
{\displaystyle{\displaystyle\tfrac{1}{2}z\cos z=J_{1}\left(z\right)-9J_{3}% \left(z\right)+25J_{5}\left(z\right)-49J_{7}\left(z\right)+\cdots,}}
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