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DLMF:10.24#Ex5
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MaRDI QID
Q4180
Label: DLMF:10.24#Ex5
Digital Library of Mathematical Functions ID
10.24#Ex5
J
~
ν
(
x
)
=
2
/
(
π
x
)
cos
(
x
-
1
4
π
)
+
O
(
x
-
3
2
)
,
Bessel-J-imaginary-order
𝜈
𝑥
2
𝜋
𝑥
𝑥
1
4
𝜋
Big-O
superscript
𝑥
3
2
{\displaystyle{\displaystyle\widetilde{J}_{\nu}\left(x\right)=\sqrt{2/(\pi x)}% \cos\left(x-\tfrac{1}{4}\pi\right)+O\left(x^{-\frac{3}{2}}\right),}}
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