# Scorer's function

Scorer's function

In mathematics, the Scorer's functions are special functions denoted Gi("x") and Hi("x"). They can be defined as:

:$mathrm\left\{Gi\right\}\left(x\right) = frac\left\{1\right\}\left\{pi\right\} int_0^infty sinleft\left(frac\left\{t^3\right\}\left\{3\right\} + xt ight\right), dt$:$mathrm\left\{Hi\right\}\left(x\right) = frac\left\{1\right\}\left\{pi\right\} int_0^infty expleft\left(-frac\left\{t^3\right\}\left\{3\right\} + xt ight\right), dt$

The Scorer's functions can also be defined in terms of Airy functions.

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