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Statements
K
ν
(
z
)
K
ν
(
ζ
)
=
1
2
∫
0
∞
exp
(
-
t
2
-
z
2
+
ζ
2
2
t
)
K
ν
(
z
ζ
t
)
d
t
t
,
modified-Bessel-second-kind
𝜈
𝑧
modified-Bessel-second-kind
𝜈
𝜁
1
2
superscript
subscript
0
𝑡
2
superscript
𝑧
2
superscript
𝜁
2
2
𝑡
modified-Bessel-second-kind
𝜈
𝑧
𝜁
𝑡
𝑡
𝑡
{\displaystyle{\displaystyle K_{\nu}\left(z\right)K_{\nu}\left(\zeta\right)=%
\frac{1}{2}\int_{0}^{\infty}\exp\left(-\frac{t}{2}-\frac{z^{2}+\zeta^{2}}{2t}%
\right)K_{\nu}\left(\frac{z\zeta}{t}\right)\frac{\mathrm{d}t}{t},}}
|
ph
z
|
<
π
phase
𝑧
𝜋
{\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}
|
ph
ζ
|
<
π
phase
𝜁
𝜋
{\displaystyle{\displaystyle|\operatorname{ph}\zeta|<\pi}}
|
ph
(
z
+
ζ
)
|
<
1
4
π
phase
𝑧
𝜁
1
4
𝜋
{\displaystyle{\displaystyle|\operatorname{ph}\left(z+\zeta\right)|<\tfrac{1}{%
4}\pi}}
π
{\displaystyle{\displaystyle\pi}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
exp
z
𝑧
{\displaystyle{\displaystyle\exp\NVar{z}}}
∫
{\displaystyle{\displaystyle\int}}
K
ν
(
z
)
modified-Bessel-second-kind
𝜈
𝑧
{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
ph
phase
{\displaystyle{\displaystyle\operatorname{ph}}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
