Formula:10538

Digital Library of Mathematical Functions ID 36.2.E10

${\displaystyle{\displaystyle\Psi_{K}(\mathbf{x};k)=\sqrt{k}\int_{-\infty}^{\infty}\exp\left(ik\Phi_{K}\left(t;\mathbf{x}\right)\right)\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle k>0}}$

Symbols List

• ${\displaystyle{\displaystyle\Phi_{\NVar{K}}\left(\NVar{t};\NVar{\mathbf{x}}\right)}}$: cuspoid catastrophe of codimension $$K$$
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle k}}$: variable
• ${\displaystyle{\displaystyle t}}$: variable
• ${\displaystyle{\displaystyle K}}$: codimension
 

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