Airy function

In mathematics, the main Airy functions Ai(x) and Bi(x) are defined as the two linearly independent solutions to the differential equation

They can be written in integral form as follows (where x ∈ R):

The Airy functions are common in physics and its applications; related Airy functions Gi(x) and Hi(x) also exist:

External links

• MathWorld: Airy functions

References

• Abramowitz and Stegun (1954). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Section 10.4. National Bureau of Standards.