Formula:9974

Digital Library of Mathematical Functions ID 32.7.E4

${\displaystyle{\displaystyle w^{2}(z;0)=2^{-1/3}\left(W^{2}(\zeta;\tfrac{1}{2}\varepsilon)-\varepsilon\frac{\mathrm{d}}{\mathrm{d}\zeta}W(\zeta;\tfrac{1}{2}\varepsilon)+\tfrac{1}{2}\zeta\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle z}}$: real
• ${\displaystyle{\displaystyle W(\zeta,\varepsilon/2)}}$: transformation
• ${\displaystyle{\displaystyle\varepsilon=\pm 1}}$: = ε ± 1
 

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