Pearcey integral

In mathematics, the Pearcey integral is defined as Pe ⁡ ( x , y ) = ∫ − ∞ ∞ exp ⁡ ( i ( t 4 + x t 2 + y t ) ) d t . {\displaystyle \operatorname {Pe} (x,y)=\int _{-\infty }^{\infty }\exp(i(t^{4}+xt^{2}+yt))\,dt.} The Pearcey integral is a class of canonical diffraction integrals, often used in wave propagation and optical diffraction problems.

Source: Wikipedia — Pearcey integral (CC BY-SA 4.0)

Pearcey integral

In mathematics, the Pearcey integral is defined as Pe ⁡ ( x , y ) = ∫ − ∞ ∞ exp ⁡ ( i ( t 4 + x t 2 + y t ) ) d t . {\displaystyle \operatorname {Pe} (x,y)=\int _{-\infty }^{\infty }\exp(i(t^{4}+xt^{2}+yt))\,dt.} The Pearcey integral is a class of canonical diffraction integrals, often used in wave propagation and optical diffraction problems.

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Source: Wikipedia "Pearcey integral" · CC BY-SA 4.0

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