Relation To Other Special Functions
For positive arguments, the Airy functions are related to the modified Bessel functions:
Here, I±1/3 and K1/3 are solutions of
The first derivative of Airy function is
Functions and can be represented in terms of rapidly converged integrals (see also modified Bessel functions )
For negative arguments, the Airy function are related to the Bessel functions:
Here, J±1/3 are solutions of .
The Scorer's functions solve the equation . They can also be expressed in terms of the Airy functions:
Read more about this topic: Airy Function
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