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Digital Library of Mathematical Functions ID
2.8.E4
ψ
(
ξ
)
=
z
˙
2
g
(
z
)
+
z
˙
1
/
2
d
2
d
ξ
2
(
z
˙
-
1
/
2
)
.
𝜓
𝜉
superscript
˙
𝑧
2
𝑔
𝑧
superscript
˙
𝑧
1
2
derivative
𝜉
2
superscript
˙
𝑧
1
2
{\displaystyle{\displaystyle\psi(\xi)=\dot{z}^{2}g(z)+\dot{z}^{1/2}\frac{{% \mathrm{d}}^{2}}{{\mathrm{d}\xi}^{2}}(\dot{z}^{-1/2}).}}
Constraint(s)
Symbols List
d
f
d
x
derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
: derivative of $$f$$ with respect to $$x$$
g
(
x
)
𝑔
𝑥
{\displaystyle{\displaystyle g(x)}}
: function
ψ
(
ξ
)
𝜓
𝜉
{\displaystyle{\displaystyle\psi(\xi)}}
: function
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