Scorer Gi
From specialfunctionswiki
The Scorer $\mathrm{Gi}$ function is a solution of the differential equation $y(x)-x y(x)=\dfrac{1}{\pi}$ and may be defined by the formula $$\mathrm{Gi}(x)=\dfrac{1}{\pi} \displaystyle\int_0^{\infty} \sin \left( \dfrac{t^3}{3}+xt \right)dt.$$
Domain coloring of $\mathrm{Gi}$.
Properties
Relationship between Scorer Gi and Airy functions
