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SpecialFuncs.Airy Function

Airy function or it's derivative of the first kind (Real argument, allows derivative and scale).

Pascal
function Airy(A: double; Derive: boolean; Scale: boolean; var Error: integer): double; overload;
Parameters 
Description 
Defines complex value where AI or it's derivative should be evaluated. 
Derive 
is true, it will return derivative of Airy function of the first kind. 
Scale 
is true, result is additionaly multiplied by factor (see below) 
Error 
Returns error code after the calculation. Return values are:
  • 0, Normal return - Computation completed.
  • 1, input error - no computation.
  • 2, overflow - no computation; dreal(zta)- too large with Scaling=false.
  • 3, zabs(z) large - computation completed. Losses of signifcance by argument reduction produce less than half of machine accuracy.
  • 4, zabs(z) too large - no computation; complete loss of accuracy by argument reduction.
  • 5, error - no computation; algorithm termination condition not met.
 

the Airy function or it's derivative from the K Bessel functions.

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