Formula:9928

Digital Library of Mathematical Functions ID 32.5.E1

${\displaystyle{\displaystyle K(z,\zeta)=k\mathrm{Ai}\left(\frac{z+\zeta}{2}\right)+\frac{k^{2}}{4}\*\int_{z}^{\infty}\!\!\!\int_{z}^{\infty}K(z,s)\mathrm{Ai}\left(\frac{s+t}{2}\right)\mathrm{Ai}\left(\frac{t+\zeta}{2}\right)\mathrm{d}s\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: real
• ${\displaystyle{\displaystyle k}}$: real
• ${\displaystyle{\displaystyle K(z,\zeta)}}$: solution
 

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