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Statements
I
ν
(
z
)
∼
e
z
(
2
π
z
)
1
2
∑
k
=
0
∞
(
-
1
)
k
a
k
(
ν
)
z
k
,
asymptotic-expansion
modified-Bessel-first-kind
𝜈
𝑧
superscript
𝑒
𝑧
superscript
2
𝜋
𝑧
1
2
superscript
subscript
𝑘
0
superscript
1
𝑘
subscript
𝑎
𝑘
𝜈
superscript
𝑧
𝑘
{\displaystyle{\displaystyle I_{\nu}\left(z\right)\sim\frac{e^{z}}{(2\pi z)^{%
\frac{1}{2}}}\sum_{k=0}^{\infty}(-1)^{k}\frac{a_{k}(\nu)}{z^{k}},}}
|
ph
z
|
≤
1
2
π
-
δ
phase
𝑧
1
2
𝜋
𝛿
{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
I
ν
(
z
)
modified-Bessel-first-kind
𝜈
𝑧
{\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}
ph
phase
{\displaystyle{\displaystyle\operatorname{ph}}}
k
𝑘
{\displaystyle{\displaystyle k}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
a
k
(
ν
)
subscript
𝑎
𝑘
𝜈
{\displaystyle{\displaystyle a_{k}(\nu)}}
Identifiers
