Formula:10684

Digital Library of Mathematical Functions ID 36.12.E1

${\displaystyle{\displaystyle I(\mathbf{y},k)=\int_{-\infty}^{\infty}\exp\left(ikf(u;\mathbf{y})\right)g(u,\mathbf{y})\mathrm{d}u,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle k}}$: variable
• ${\displaystyle{\displaystyle g(u,\mathbf{y})}}$: function
• ${\displaystyle{\displaystyle f(u,\mathbf{y})}}$: function
• ${\displaystyle{\displaystyle u(t;\mathbf{y})}}$: mapping (locally)
 

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