(maxima.info)Airy Functions


Next: Gamma and factorial Functions Prev: Bessel Functions Up: Special Functions
Enter node , (file) or (file)node

15.3 Airy Functions
===================

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'.


automatically generated by info2www version 1.2.2.9