(maxima.info)Airy Functions
15.3 Airy Functions
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The Airy functions Ai(x) and Bi(x) are defined in Abramowitz and Stegun,
Handbook of Mathematical Functions, Section 10.4.
'y = Ai(x)' and 'y = Bi(x)' are two linearly independent solutions of
the Airy differential equation 'diff (y(x), x, 2) - x y(x) = 0'.
If the argument 'x' is a real or complex floating point number, the
numerical value of the function is returned.
-- Function: airy_ai (<x>)
The Airy function Ai(x). (A&S 10.4.2)
The derivative 'diff (airy_ai(x), x)' is 'airy_dai(x)'.
See also 'airy_bi', 'airy_dai', 'airy_dbi'.
-- Function: airy_dai (<x>)
The derivative of the Airy function Ai 'airy_ai(x)'.
See 'airy_ai'.
-- Function: airy_bi (<x>)
The Airy function Bi(x). (A&S 10.4.3)
The derivative 'diff (airy_bi(x), x)' is 'airy_dbi(x)'.
See 'airy_ai', 'airy_dbi'.
-- Function: airy_dbi (<x>)
The derivative of the Airy Bi function 'airy_bi(x)'.
See 'airy_ai' and 'airy_bi'.
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