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DLMF:1.13.E21
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Formula:456
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MaRDI QID
Q456
Label: DLMF:1.13.E21
Digital Library of Mathematical Functions ID
1.13.E21
{
z
,
ζ
}
=
(
d
ξ
/
d
ζ
)
2
{
z
,
ξ
}
+
{
ξ
,
ζ
}
.
Schwarzian
𝑧
𝜁
superscript
derivative
𝜉
𝜁
2
Schwarzian
𝑧
𝜉
Schwarzian
𝜉
𝜁
{\displaystyle{\displaystyle\left\{z,\zeta\right\}=(\ifrac{\mathrm{d}\xi}{% \mathrm{d}\zeta})^{2}\left\{z,\xi\right\}+\left\{\xi,\zeta\right\}.}}
Constraint(s)
Symbols List
{
z
,
ζ
}
Schwarzian
𝑧
𝜁
{\displaystyle{\displaystyle\left\{\NVar{z},\NVar{\zeta}\right\}}}
: Schwarzian derivative
d
f
d
x
derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
: derivative of $$f$$ with respect to $$x$$
z
𝑧
{\displaystyle{\displaystyle z}}
: variable
ξ
𝜉
{\displaystyle{\displaystyle\xi}}
: change of variable
ζ
(
z
)
𝜁
𝑧
{\displaystyle{\displaystyle\zeta(z)}}
: thrice-differentiable function
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