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Statements
∂
∂
ν
𝖯
ν
μ
(
x
)
=
π
cot
(
ν
π
)
𝖯
ν
μ
(
x
)
-
1
π
𝖠
ν
μ
(
x
)
,
partial-derivative
𝜈
Ferrers-Legendre-P-first-kind
𝜇
𝜈
𝑥
𝜋
𝜈
𝜋
Ferrers-Legendre-P-first-kind
𝜇
𝜈
𝑥
1
𝜋
superscript
subscript
𝖠
𝜈
𝜇
𝑥
{\displaystyle{\displaystyle\frac{\partial}{\partial\nu}\mathsf{P}^{\mu}_{\nu}%
\left(x\right)=\pi\cot\left(\nu\pi\right)\mathsf{P}^{\mu}_{\nu}\left(x\right)-%
\frac{1}{\pi}\mathsf{A}_{\nu}^{\mu}(x),}}
𝖯
ν
μ
(
x
)
Ferrers-Legendre-P-first-kind
𝜇
𝜈
𝑥
{\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}%
\right)}}
π
{\displaystyle{\displaystyle\pi}}
cot
z
𝑧
{\displaystyle{\displaystyle\cot\NVar{z}}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
x
𝑥
{\displaystyle{\displaystyle x}}
μ
𝜇
{\displaystyle{\displaystyle\mu}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
𝖠
ν
μ
(
x
)
superscript
subscript
𝖠
𝜈
𝜇
𝑥
{\displaystyle{\displaystyle\mathsf{A}_{\nu}^{\mu}(x)}}
Identifiers
