Difference between revisions of "Scorer Hi"
From specialfunctionswiki
| Line 4: | Line 4: | ||
<div align="center"> | <div align="center"> | ||
<gallery> | <gallery> | ||
| + | File:Scorerhiplot.png|Graph of $\mathrm{Hi}$. | ||
File:Complexscorerhi.png|[[Domain coloring]] of $\mathrm{Hi}$. | File:Complexscorerhi.png|[[Domain coloring]] of $\mathrm{Hi}$. | ||
</gallery> | </gallery> | ||
Latest revision as of 23:00, 9 June 2016
The Scorer $\mathrm{Hi}$ function is a solution of the differential equation $y(x)-x y(x)=\dfrac{1}{\pi}$ and may be defined by the formula $$\mathrm{Hi}(x)=\dfrac{1}{\pi} \displaystyle\int_0^{\infty} \exp \left( -\dfrac{t^3}{3}+xt \right)\mathrm{d}t.$$
Graph of $\mathrm{Hi}$.
Domain coloring of $\mathrm{Hi}$.
Properties
Relationship between Scorer Hi and Airy functions
