SpecialFuncs.Airy Method (TCplx, bool, bool, int)

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

Syntax

Visual Basic

public static TCplx Airy(TCplx Z, bool Derive, bool Scale, ref int Error);

Parameters	Description
TCplx Z	Function independant variable, complex value.
bool Derive	If true, function will return Airy derivative instead of the actual Airy (AI) function.
bool Scale	If true, result function or it's derivative is scaled by Exp(z), where z = (2/3)*(Z)^(3/2)
ref int 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.

Returns

If Derive is false, it will return Airy function of the first kind.

Remarks

If Derive is true, it will return derivative of Airy function of the first kind. If Scale is true, result is additionaly multiplied by factor (see below)