Real and complex Bessel functions. More...

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

complex_t	J0 (const 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 (const 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 (const complex_t z)
	Complex Bessel function J1(x)/x. More...

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

Detailed Description

Real and complex Bessel functions.

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 ( const 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 FTDistribution2DCone::evaluate(), and InterferenceFunctionHardDisk::integrand().

◆ J1() [1/2]

complex_t Math::Bessel::J1 ( const 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 ( const 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 FTDistribution2DGate::evaluate(), FTDistribution2DCone::evaluate(), FormFactorCylinder::evaluate_for_q(), FormFactorEllipsoidalCylinder::evaluate_for_q(), FormFactorCone::Integrand(), FormFactorHemiEllipsoid::Integrand(), FormFactorTruncatedSphere::Integrand(), and FormFactorTruncatedSpheroid::Integrand().

Functions