Calculator and formulas for calculating the Airy functions Ai(x) and Bi(x)
This page contains an online calculator for the Airy function.
The Airy functions \(\displaystyle Ai (x) \) and the related function \(\displaystyle Bi (x) \) denote a special function in mathematics for solving the linear differential equation \(\displaystyle y'' -xy=0\).
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If you move the mouse over the graphic, the values more or less than the specified argument are displayed.
\(\displaystyle Ai(x)=\frac{1}{π}\sqrt{\frac{x}{3}}K_{\frac{1}{3}}\left(\frac{2}{3}x^{\frac{3}{2}}\right)\)
\(\displaystyle Bi(x)=\sqrt{\frac{x}{3}} \left( I_{-\frac{1}{3}} \left( \frac{2}{3}x^{\frac{3}{2}} \right) + I_{\frac{1}{3}}\left(\frac{2}{3}x^{\frac{3}{2}}\right)\right) \)
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