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Statements
K
ν
′
(
z
)
∼
-
(
π
2
z
)
1
2
e
-
z
∑
k
=
0
∞
b
k
(
ν
)
z
k
,
asymptotic-expansion
diffop
modified-Bessel-second-kind
𝜈
1
𝑧
superscript
𝜋
2
𝑧
1
2
superscript
𝑒
𝑧
superscript
subscript
𝑘
0
subscript
𝑏
𝑘
𝜈
superscript
𝑧
𝑘
{\displaystyle{\displaystyle K_{\nu}'\left(z\right)\sim-\left(\frac{\pi}{2z}%
\right)^{\frac{1}{2}}e^{-z}\sum_{k=0}^{\infty}\frac{b_{k}(\nu)}{z^{k}},}}
|
ph
z
|
≤
3
2
π
-
δ
phase
𝑧
3
2
𝜋
𝛿
{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{3}{2}\pi-\delta}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
K
ν
(
z
)
modified-Bessel-second-kind
𝜈
𝑧
{\displaystyle{\displaystyle K_{\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}}
b
k
(
ν
)
subscript
𝑏
𝑘
𝜈
{\displaystyle{\displaystyle b_{k}(\nu)}}
Identifiers
