Description

Real and complex Bessel functions.

Functions
double	I0 (double x)
	Modified Bessel function of the first kind and order 0. More...

complex_t	J0 (complex_t z)
	Complex Bessel function of the first kind and order 0. More...

double	J0 (double x)
	Bessel function of the first kind and order 0. More...

complex_t	J1 (complex_t z)
	Complex Bessel function of the first kind and order 1. More...

double	J1 (double x)
	Bessel function of the first kind and order 1. More...

complex_t	J1c (complex_t z)
	Complex Bessel function J1(x)/x. More...

double	J1c (double x)
	Bessel function J1(x)/x. More...

Function Documentation

◆ I0()

double Math::Bessel::I0 ( double x )

Modified Bessel function of the first kind and order 0.

Definition at line 177 of file Bessel.cpp.

 {
     return gsl_sf_bessel_I0(x);
 }

◆ J0() [1/2]

complex_t Math::Bessel::J0 ( complex_t z )

Complex Bessel function of the first kind and order 0.

Definition at line 182 of file Bessel.cpp.

 {
     if (std::imag(z) == 0)
         return gsl_sf_bessel_J0(std::real(z));
     return J0_PowSer(z);
 }

◆ J0() [2/2]

double Math::Bessel::J0 ( double x )

Bessel function of the first kind and order 0.

Definition at line 162 of file Bessel.cpp.

 {
     return gsl_sf_bessel_J0(x);
 }

Referenced by InterferenceHardDisk::iff_without_dw(), and Profile2DCone::standardizedFT2D().

◆ J1() [1/2]

complex_t Math::Bessel::J1 ( complex_t z )

Complex Bessel function of the first kind and order 1.

Definition at line 189 of file Bessel.cpp.

 {
     if (std::imag(z) == 0)
         return gsl_sf_bessel_J1(std::real(z));
     return J1_PowSer(z);
 }

◆ J1() [2/2]

double Math::Bessel::J1 ( double x )

Bessel function of the first kind and order 1.

Definition at line 167 of file Bessel.cpp.

 {
     return gsl_sf_bessel_J1(x);
 }

◆ J1c() [1/2]

complex_t Math::Bessel::J1c ( complex_t z )

Complex Bessel function J1(x)/x.

Definition at line 196 of file Bessel.cpp.

 {
     if (std::imag(z) == 0) {
         double xv = std::real(z);
         return xv == 0 ? 0.5 : gsl_sf_bessel_J1(xv) / xv;
     }
     return z == 0. ? 0.5 : J1_PowSer(z) / z;
 }

◆ J1c() [2/2]

double Math::Bessel::J1c ( double x )

Bessel function J1(x)/x.

Definition at line 172 of file Bessel.cpp.

 {
     return x == 0 ? 0.5 : gsl_sf_bessel_J1(x) / x;
 }

Referenced by Cone::formfactor_at_bottom(), Cylinder::formfactor_at_bottom(), EllipsoidalCylinder::formfactor_at_bottom(), HemiEllipsoid::formfactor_at_bottom(), HorizontalCylinder::formfactor_at_bottom(), TruncatedSphere::formfactor_at_bottom(), TruncatedSpheroid::formfactor_at_bottom(), Profile2DGate::standardizedFT2D(), and Profile2DCone::standardizedFT2D().