# Airy function Calculator

## Calculates the Airy functions Ai(x) and Bi(x).

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 $\normal Airy\ functions\ Ai(x)\ and\ Bi(x)\\[10](1)\ y''-xy=0\\\hspace{25} y=c_1Ai(x)+c_2Bi(x)\\[10](2)\ Ai(x)={\large\frac{1}{\pi}\sqrt{\frac{x}{3}}}K_{\frac{1}{3}}(\frac{2}{3}x^{\frac{3}{2}})\\\hspace{25} Bi(x)={\large\sqrt{\frac{x}{3}}}\left(I_{-\frac{1}{3}}(\frac{2}{3}x^{\frac{3}{2}})+I_{\frac{1}{3}}(\frac{2}{3}x^{\frac{3}{2}})\right)\\$

Airy function
 [1-4] /4 Disp-Num5103050100200
[1]  2014/05/22 02:24   Male / 60 years old level or over / A teacher / A researcher / Very /
Purpose of use
research
Comment/Request
wished one could calculate several values instead of 1 by 1
from Keisan
Please refer to "Airy function (chart) Calculator"
[2]  2013/02/04 05:07   Male / 50 years old level / An office worker / A public employee / Very /
Purpose of use
MATHEMATICAL EXPLORER
[3]  2011/02/07 19:39   Male / 30 level / A researcher / Very /
Purpose of use
For calculation of absorption coefficient
Comment/Request
Want to know what is the value of K1/3 in Airy function furmula
from Keisan
K1/3 means "Modified Bessel function"
[4]  2010/01/06 01:39   Male / More than 60 / A researcher / Very /
Purpose of use
evaluate airy beams
Comment/Request
excellent

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