#include <cmath>
#include "gsl/gsl_sf_bessel.h"
#include "gsl/gsl_sf_legendre.h"
#include "gsl/gsl_sf_laguerre.h"
#include "gsl/gsl_sf_hyperg.h"
#include "gsl/gsl_sf_ellint.h"
#include "gsl/gsl_sf_expint.h"
#include "gsl/gsl_sf_zeta.h"
#include "gsl/gsl_sf_airy.h"
#include "gsl/gsl_sf_coupling.h"

Include dependency graph for SpecFuncMathMore.cxx:

Namespaces
	ROOT
	This namespace contains pre-defined functions to be used in conjuction with TExecutor::Map and TExecutor::MapReduce.

	ROOT::Math

Macros
#define	PI 3.14159265358979323846264338328 /* pi */

Functions
Special Functions from MathMore
double	ROOT::Math::assoc_laguerre (unsigned n, double m, double x)
	Computes the generalized Laguerre polynomials for \( n \geq 0, m > -1 \). More...

double	ROOT::Math::assoc_legendre (unsigned l, unsigned m, double x)
	Computes the associated Legendre polynomials. More...

double	ROOT::Math::comp_ellint_1 (double k)
	Calculates the complete elliptic integral of the first kind. More...

double	ROOT::Math::comp_ellint_2 (double k)
	Calculates the complete elliptic integral of the second kind. More...

double	ROOT::Math::comp_ellint_3 (double n, double k)
	Calculates the complete elliptic integral of the third kind. More...

double	ROOT::Math::conf_hyperg (double a, double b, double z)
	Calculates the confluent hypergeometric functions of the first kind. More...

double	ROOT::Math::conf_hypergU (double a, double b, double z)
	Calculates the confluent hypergeometric functions of the second kind, known also as Kummer function of the second kind, it is related to the confluent hypergeometric functions of the first kind. More...

double	ROOT::Math::cyl_bessel_i (double nu, double x)
	Calculates the modified Bessel function of the first kind (also called regular modified (cylindrical) Bessel function). More...

double	ROOT::Math::cyl_bessel_j (double nu, double x)
	Calculates the (cylindrical) Bessel functions of the first kind (also called regular (cylindrical) Bessel functions). More...

double	ROOT::Math::cyl_bessel_k (double nu, double x)
	Calculates the modified Bessel functions of the second kind (also called irregular modified (cylindrical) Bessel functions). More...

double	ROOT::Math::cyl_neumann (double nu, double x)
	Calculates the (cylindrical) Bessel functions of the second kind (also called irregular (cylindrical) Bessel functions or (cylindrical) Neumann functions). More...

double	ROOT::Math::ellint_1 (double k, double phi)
	Calculates the incomplete elliptic integral of the first kind. More...

double	ROOT::Math::ellint_2 (double k, double phi)
	Calculates the complete elliptic integral of the second kind. More...

double	ROOT::Math::ellint_3 (double n, double k, double phi)
	Calculates the complete elliptic integral of the third kind. More...

double	ROOT::Math::expint (double x)
	Calculates the exponential integral. More...

double	ROOT::Math::hyperg (double a, double b, double c, double x)
	Calculates Gauss' hypergeometric function. More...

double	ROOT::Math::laguerre (unsigned n, double x)
	Calculates the Laguerre polynomials. More...

double	ROOT::Math::legendre (unsigned l, double x)
	Calculates the Legendre polynomials. More...

double	ROOT::Math::riemann_zeta (double x)
	Calculates the Riemann zeta function. More...

double	ROOT::Math::sph_bessel (unsigned n, double x)
	Calculates the spherical Bessel functions of the first kind (also called regular spherical Bessel functions). More...

double	ROOT::Math::sph_legendre (unsigned l, unsigned m, double theta)
	Computes the spherical (normalized) associated Legendre polynomials, or spherical harmonic without azimuthal dependence ( \(e^(im\phi)\)). More...

double	ROOT::Math::sph_neumann (unsigned n, double x)
	Calculates the spherical Bessel functions of the second kind (also called irregular spherical Bessel functions or spherical Neumann functions). More...

double	ROOT::Math::airy_Ai (double x)
	Calculates the Airy function Ai. More...

double	ROOT::Math::airy_Bi (double x)
	Calculates the Airy function Bi. More...

double	ROOT::Math::airy_Ai_deriv (double x)
	Calculates the derivative of the Airy function Ai. More...

double	ROOT::Math::airy_Bi_deriv (double x)
	Calculates the derivative of the Airy function Bi. More...

double	ROOT::Math::airy_zero_Ai (unsigned int s)
	Calculates the zeroes of the Airy function Ai. More...

double	ROOT::Math::airy_zero_Bi (unsigned int s)
	Calculates the zeroes of the Airy function Bi. More...

double	ROOT::Math::airy_zero_Ai_deriv (unsigned int s)
	Calculates the zeroes of the derivative of the Airy function Ai. More...

double	ROOT::Math::airy_zero_Bi_deriv (unsigned int s)
	Calculates the zeroes of the derivative of the Airy function Bi. More...

double	ROOT::Math::wigner_3j (int two_ja, int two_jb, int two_jc, int two_ma, int two_mb, int two_mc)
	Calculates the Wigner 3j coupling coefficients. More...

double	ROOT::Math::wigner_6j (int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf)
	Calculates the Wigner 6j coupling coefficients. More...

double	ROOT::Math::wigner_9j (int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf, int two_jg, int two_jh, int two_ji)
	Calculates the Wigner 9j coupling coefficients. More...

Macro Definition Documentation

◆ PI

#define PI 3.14159265358979323846264338328 /* pi */

Definition at line 16 of file SpecFuncMathMore.cxx.

Namespaces

Macros

Functions

Macro Definition Documentation

◆ PI