Topics of this chapter are Bessel and Airy functions and related functions. Airy functions and its first derivatives, its phase and modulus, and the scorer functions Hi and Gi and its derivatives are discussed. In dependence of their function argument various computational techniques will be used, e.g., series expansions or path integration techniques of the corresponding differential equation. Similar techniques will be also used to evaluate the Bessel functions, the modified Bessel functions, the spherical Bessel functions, and the Kelvin functions in the complex domain and for complex order. The corresponding programming code can be downloaded.