# Airy Ai

From specialfunctionswiki

The Airy function $\mathrm{Ai}$ is a solution of the Airy differential equation linearly independent from the Airy Bi function.

Domain coloring of Airy $\mathrm{Ai}$.

# Properties

Integral representation of Airy Ai

Value of Ai(0)

Value of Ai'(0)

Relationship between Airy Ai and modified Bessel K

Relationship between Scorer Gi and Airy functions

Relationship between Scorer Hi and Airy functions

# Videos

Leading Tsunami wave reaching the shore (27 November 2009)

Series solution of ode: Airy's equation (3 November 2010)

Airy differential equation (26 November 2013)

# References

The mathematics of rainbows

Tables of Weyl Fractional Integrals for the Airy Function

Special Functions: An Introduction to the Classical Functions of Mathematical Physics