 Scorer function

The Scorer functions are particular solutions of inhomogeneous Airy equations: ${\mathrm{Hi}}^{\prime \prime }(x)-x\mathrm{Hi}(x)=1/\pi$ and ${\mathrm{Gi}}^{\prime \prime }(x)-x\mathrm{Gi}(x)=-1/\pi$. They occur when an endpoint participates in an Airy-type transition. The NIST Digital Library of Mathematical Functions gives their standard normalizations.