DLMF:9.11.E14

MaRDI QIDQ3619

• Label: DLMF:9.11.E14

Digital Library of Mathematical Functions ID 9.11.E14

${\displaystyle{\displaystyle\int\frac{\mathrm{Ai}\left(z\right)\mathrm{Bi}\left(z\right)}{\left({\mathrm{Ai}^{2}}\left(z\right)+{\mathrm{Bi}^{2}}\left(z\right)\right)^{2}}\mathrm{d}z=\frac{\pi}{2}\frac{{\mathrm{Bi}^{2}}\left(z\right)}{{\mathrm{Ai}^{2}}\left(z\right)+{\mathrm{Bi}^{2}}\left(z\right)}.}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
 

Resources that cite this formula

No records found.