SpecialFuncs.Besh Function

Hankel function H(z) of the first or second kind (Complex argument, first or second kind, can be scaled.

Pascal

function Besh(NU: double; Z: TCplx; Scale: boolean; FirstKind: boolean): TCplx; overload;

Parameters	Description
NU	describes the order of Hankel function.
Z	Defines complex value for which H(Z) should be evaluated.
Scale	If true, the result will be multiplied by scale factor Exp(+iz) or Exp(-iz), depending on FirstKind parameter value.
FirstKind	If true, calculate Hankel function of first kind, if false, calculate Hankel function of second kind.

Returns

modified Bessel function of the third kind - Hankel function H(z). If parameter FirstKind is true, the return function will be Hankel function of the first kind. If false, the return function will be Hankel function of second kind. If Scale parameter is true, the result will be multiplied by scale factor Exp(+i*z) or Exp(-i*z), depending on FirstKind parameter value.