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Statements
K
ν
(
z
e
m
π
i
)
=
csc
(
ν
π
)
(
±
sin
(
m
ν
π
)
K
ν
(
z
e
±
π
i
)
∓
sin
(
(
m
∓
1
)
ν
π
)
K
ν
(
z
)
)
.
modified-Bessel-second-kind
𝜈
𝑧
superscript
𝑒
𝑚
𝜋
𝑖
𝜈
𝜋
minus-or-plus
plus-or-minus
𝑚
𝜈
𝜋
modified-Bessel-second-kind
𝜈
𝑧
superscript
𝑒
plus-or-minus
𝜋
𝑖
minus-or-plus
𝑚
1
𝜈
𝜋
modified-Bessel-second-kind
𝜈
𝑧
{\displaystyle{\displaystyle K_{\nu}\left(ze^{m\pi i}\right)=\csc\left(\nu\pi%
\right)\left(\pm\sin\left(m\nu\pi\right)K_{\nu}\left(ze^{\pm\pi i}\right)\mp%
\sin\left((m\mp 1)\nu\pi\right)K_{\nu}\left(z\right)\right).}}
π
{\displaystyle{\displaystyle\pi}}
csc
z
𝑧
{\displaystyle{\displaystyle\csc\NVar{z}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
K
ν
(
z
)
modified-Bessel-second-kind
𝜈
𝑧
{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
m
𝑚
{\displaystyle{\displaystyle m}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
