SpecialFuncs.Biry Function

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

Pascal

function Biry(Z: TCplx; Derive: boolean; Scale: boolean; var Error: integer): TCplx; overload;

File

SpecialFuncs

Parameters

Parameters	Description
Z	Function independant variable, complex value.
Derive	If true, function will return Airy (BI) derivative instead of the actual Airy (BI) function.
Scale	If true, result function (BI) or it's derivative is scaled by Exp(-\|z\|\|z\|), where z = z = (2/3)(Z)^(3/2)
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 second kind (BI).

Description

If Derive is true, it will return derivative of Airy function of the second kind (BI). Additionaly, if Scale is true, result is additionaly multiplied by factor (see above).