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DLMF:10.35.E4
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MaRDI QID
Q4250
Label: DLMF:10.35.E4
Digital Library of Mathematical Functions ID
10.35.E4
1
=
I
0
(
z
)
-
2
I
2
(
z
)
+
2
I
4
(
z
)
-
2
I
6
(
z
)
+
⋯
,
1
modified-Bessel-first-kind
0
𝑧
2
modified-Bessel-first-kind
2
𝑧
2
modified-Bessel-first-kind
4
𝑧
2
modified-Bessel-first-kind
6
𝑧
⋯
{\displaystyle{\displaystyle 1=I_{0}\left(z\right)-2I_{2}\left(z\right)+2I_{4}% \left(z\right)-2I_{6}\left(z\right)+\cdots,}}
Constraint(s)
Symbols List
I
ν
(
z
)
modified-Bessel-first-kind
𝜈
𝑧
{\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}
: modified Bessel function of the first kind
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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