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

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

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