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Formula:905

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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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