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Statements
𝖰
ν
-
μ
(
cos
θ
)
=
-
π
2
ν
μ
(
θ
sin
θ
)
1
/
2
(
Y
μ
(
(
ν
+
1
2
)
θ
)
+
O
(
1
ν
)
env
Y
μ
(
(
ν
+
1
2
)
θ
)
)
,
Ferrers-Legendre-Q-first-kind
𝜇
𝜈
𝜃
𝜋
2
superscript
𝜈
𝜇
superscript
𝜃
𝜃
1
2
Bessel-Y-Weber
𝜇
𝜈
1
2
𝜃
Big-O
1
𝜈
envelope-Bessel-Y
𝜇
𝜈
1
2
𝜃
{\displaystyle{\displaystyle\mathsf{Q}^{-\mu}_{\nu}\left(\cos\theta\right)=-%
\frac{\pi}{2\nu^{\mu}}\left(\frac{\theta}{\sin\theta}\right)^{1/2}\left(Y_{\mu%
}\left(\left(\nu+\tfrac{1}{2}\right)\theta\right)+O\left(\frac{1}{\nu}\right)%
\mathrm{env}\mskip-2.0mu Y_{\mu}\left(\left(\nu+\tfrac{1}{2}\right)\theta%
\right)\right),}}
Y
ν
(
z
)
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
O
(
x
)
Big-O
𝑥
{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
𝖰
ν
μ
(
x
)
Ferrers-Legendre-Q-first-kind
𝜇
𝜈
𝑥
{\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}%
\right)}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
env
Y
ν
(
x
)
envelope-Bessel-Y
𝜈
𝑥
{\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu Y_{\NVar{\nu}}\left(\NVar%
{x}\right)}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
μ
𝜇
{\displaystyle{\displaystyle\mu}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
θ
𝜃
{\displaystyle{\displaystyle\theta}}
Identifiers
