Bessel Struct Reference

Bessel functions (regular and irregular), of integer, half integer and non-integer order. More...

#include <Bessel.h>

List of all members.

Static Public Member Functions
double	J0 (const double x)
	Evaluate the J0 function.
Dpair	J0Err (const double x)
	Evaluate the J0 function and estimate the error.
double	J1 (const double x)
	Evaluate the J1 function.
Dpair	J1Err (const double x)
	Evaluate the J1 function and estimate the error.
double	Jn (const int n, const double x)
	Evaluate the Jn function.
Dpair	JnErr (const int n, const double x)
	Evaluate the Jn function and estimate the error.
Dvector	JnArray (const int nmin, const int nmax, const double x)
	Evaluate the Jn functions for n = nmin,...,nmax.
Dvector	JnErrArray (const int nmin, const int nmax, const double x)
	Evaluate the Jn functions for n = nmin...nmax (For now, a clone of JnArray).
double	Y0 (const double x)
	Evaluate the Y0 function.
Dpair	Y0Err (const double x)
	Evaluate the Y0 function and estimate the error.
double	Y1 (const double x)
	Evaluate the Y1 function.
Dpair	Y1Err (const double x)
	Evaluate the Y1 function and estimate the error.
double	Yn (const int n, const double x)
	Evaluate the Yn function.
Dpair	YnErr (const int n, const double x)
	Evaluate the Yn function and estimate the error.
Dvector	YnArray (const int nmin, const int nmax, const double x)
	Evaluate the Yn functions for n = nmin,...,nmax.
Dvector	YnErrArray (const int nmin, const int nmax, const double x)
	Evaluate the Yn functions for n = nmin...nmax (For now, a clone of YnArray).
double	I0 (const double x)
	Evaluate the I0 function.
Dpair	I0Err (const double x)
	Evaluate the I0 function and estimate the error.
double	I1 (const double x)
	Evaluate the I1 function.
Dpair	I1Err (const double x)
	Evaluate the I1 function and estimate the error.
double	In (const int n, const double x)
	Evaluate the In function.
Dpair	InErr (const int n, const double x)
	Evaluate the In function and estimate the error.
Dvector	InArray (const int nmin, const int nmax, const double x)
	Evaluate the In functions for n = nmin,...,nmax.
Dvector	InErrArray (const int nmin, const int nmax, const double x)
	Evaluate the In functions for n = nmin...nmax (For now, a clone of InArray).
double	I0Scaled (const double x)
	Evaluate exp(-|x|)*I0(x).
Dpair	I0ErrScaled (const double x)
	Evaluate the scaled I0 function and estimate the error.
double	I1Scaled (const double x)
	Evaluate the scaled I1 function.
Dpair	I1ErrScaled (const double x)
	Evaluate the scaled I1 function and estimate the error.
double	InScaled (const int n, const double x)
	Evaluate the scaled In function.
Dpair	InErrScaled (const int n, const double x)
	Evaluate the scaled In function and estimate the error.
Dvector	InArrayScaled (const int nmin, const int nmax, const double x)
	Evaluate the scaled In functions for n = 0,...,nmax.
Dvector	InErrArrayScaled (const int nmin, const int nmax, const double x)
	Evaluate the scaled In functions for n = 0...nmax (For now, a clone of InArray).
double	K0 (const double x)
	Evaluate the K0 function.
Dpair	K0Err (const double x)
	Evaluate the K0 function and estimate the error.
double	K1 (const double x)
	Evaluate the K1 function.
Dpair	K1Err (const double x)
	Evaluate the K1 function and estimate the error.
double	Kn (const int n, const double x)
	Evaluate the Kn function.
Dpair	KnErr (const int n, const double x)
	Evaluate the Kn function and estimate the error.
Dvector	KnArray (const int nmin, const int nmax, const double x)
	Evaluate the Kn functions for n = nmin,...,nmax.
Dvector	KnErrArray (const int nmin, const int nmax, const double x)
	Evaluate the Kn functions for n = nmin...nmax (For now, a clone of KnArray).
double	K0Scaled (const double x)
	Evaluate exp(x)* K0.
Dpair	K0ErrScaled (const double x)
	Evaluate the scaled K0 function and estimate the error.
double	K1Scaled (const double x)
	Evaluate the scaled K1 function.
Dpair	K1ErrScaled (const double x)
	Evaluate the scaled K1 function and estimate the error.
double	KnScaled (const int n, const double x)
	Evaluate the scaled Kn function.
Dpair	KnErrScaled (const int n, const double x)
	Evaluate the scaled Kn function and estimate the error.
Dvector	KnArrayScaled (const int nmin, const int nmax, const double x)
	Evaluate the scaled Kn functions for n = nmin,...,nmax.
Dvector	KnErrArrayScaled (const int nmin, const int nmax, const double x)
	Evaluate the scaled Kn functions for n = o...nmax (For now, a clone of KnArray).
double	RegularSphericalJ0 (const double x)
	Evaluate the Regular Spherical J0 function.
Dpair	RegularSphericalJ0Err (const double x)
	Evaluate the Regular Spherical J0 function and estimate the error.
double	RegularSphericalJ1 (const double x)
	Evaluate the Regular Spherical J1 function.
Dpair	RegularSphericalJ1Err (const double x)
	Evaluate the Regular Spherical J1 function and estimate the error.
double	RegularSphericalJ2 (const double x)
	Evaluate the Regular Spherical J2 function.
Dpair	RegularSphericalJ2Err (const double x)
	Evaluate the Regular Spherical J2 function and estimate the error.
double	RegularSphericalJn (const int n, const double x)
	Evaluate the Regular Spherical Jn function.
Dpair	RegularSphericalJnErr (const int n, const double x)
	Evaluate the Regular Spherical Jn function and estimate the error.
Dvector	RegularSphericalJnArray (const int nmax, const double x)
	Evaluate the Regular Spherical Jn functions for n = 0,...,nmax.
Dvector	RegularSphericalJnErrArray (const int nmax, const double x)
	Evaluate the Jn functions for n = 0...nmax and estimate the errors.
Dvector	RegularSphericalJnSteedArray (const int nmax, const double x)
	Evaluate the Jn functions for n = 0,...,nmax using Steed's method.
double	IrregularSphericalY0 (const double x)
	Evaluate the Irregular Spherical Y0 function.
Dpair	IrregularSphericalY0Err (const double x)
	Evaluate the Irregular Spherical Y0 function and estimate the error.
double	IrregularSphericalY1 (const double x)
	Evaluate the Irregular Spherical Y1 function.
Dpair	IrregularSphericalY1Err (const double x)
	Evaluate the Irregular Spherical Y1 function and estimate the error.
double	IrregularSphericalY2 (const double x)
	Evaluate the Irregular Spherical Y2 function.
Dpair	IrregularSphericalY2Err (const double x)
	Evaluate the Irregular Spherical Y2 function and estimate the error.
double	IrregularSphericalYn (const int n, const double x)
	Evaluate the Irregular Spherical Yn function.
Dpair	IrregularSphericalYnErr (const int n, const double x)
	Evaluate the Irregular Spherical Yn function and estimate the error.
Dvector	IrregularSphericalYnArray (const int nmax, const double x)
	Evaluate the Irregular Spherical Yn functions for n = 0,...,nmax.
Dvector	IrregularSphericalYnErrArray (const int nmax, const double x)
	Evaluate the Yn functions for n = o...nmax and estimate the errors.
double	RegularModifiedSphericalJ0 (const double x)
	Evaluate the Regular Modified Spherical J0 function.
Dpair	RegularModifiedSphericalJ0Err (const double x)
	Evaluate the Regular Modified Spherical J0 function and estimate the error.
double	RegularModifiedSphericalJ1 (const double x)
	Evaluate the Regular Modified Spherical J1 function.
Dpair	RegularModifiedSphericalJ1Err (const double x)
	Evaluate the Regular Modified Spherical J1 function and estimate the error.
double	RegularModifiedSphericalJ2 (const double x)
	Evaluate the Regular Modified Spherical J2 function.
Dpair	RegularModifiedSphericalJ2Err (const double x)
	Evaluate the Regular Modified Spherical J2 function and estimate the error.
double	RegularModifiedSphericalJn (const int n, const double x)
	Evaluate the Regular Modified Spherical Jn function.
Dpair	RegularModifiedSphericalJnErr (const int n, const double x)
	Evaluate the Regular Modified Spherical Jn function and estimate the error.
Dvector	RegularModifiedSphericalJnArray (const int nmax, const double x)
	Evaluate the Regular Modified Spherical Jn functions for n = 0,...,nmax.
Dvector	RegularModifiedSphericalJnErrArray (const int nmax, const double x)
	Evaluate the Spherical Jn functions for n = 0...nmax and estimate the errors.
double	IrregularModifiedSphericalY0 (const double x)
	Evaluate the Irregular Modified Spherical Y0 function.
Dpair	IrregularModifiedSphericalY0Err (const double x)
	Evaluate the Irregular Modified Spherical Y0 function and estimate the error.
double	IrregularModifiedSphericalY1 (const double x)
	Evaluate the Irregular Modified Spherical Y1 function.
Dpair	IrregularModifiedSphericalY1Err (const double x)
	Evaluate the Irregular Modified Spherical Y1 function and estimate the error.
double	IrregularModifiedSphericalY2 (const double x)
	Evaluate the Irregular Modified Spherical Y2 function.
Dpair	IrregularModifiedSphericalY2Err (const double x)
	Evaluate the Irregular Modified Spherical Y2 function and estimate the error.
double	IrregularModifiedSphericalYn (const int n, const double x)
	Evaluate the Irregular Modified Spherical Yn function.
Dpair	IrregularModifiedSphericalYnErr (const int n, const double x)
	Evaluate the Irregular Modified Spherical Yn function and estimate the error.
Dvector	IrregularModifiedSphericalYnArray (const int nmax, const double x)
	Evaluate the Irregular Modified Spherical Yn functions for n = 0,...,nmax.
Dvector	IrregularModifiedSphericalYnErrArray (const int nmax, const double x)
	Evaluate the Spherical Yn functions for n = 0...nmax and estimate the errors.
double	Jnu (const double nu, const double x)
	Evaluate the Jnu function for fractional order.
Dpair	JnuErr (const double nu, const double x)
	Evaluate the Jnu function for fractional order and estimate the error.
Dvector	JnuArray (const double nu, Dvector x)
	Evaluate Jnu for the specified nu over the xvalues specified.
Dvector	JnuErrArray (const double nu, Dvector x)
	Evaluate Jnu for the specified nu over the xvalues specified.
double	Ynu (const double nu, const double x)
	Evaluate the Ynu function for fractional order.
Dpair	YnuErr (const double nu, const double x)
	Evaluate the Ynu function for fractional order and estimate the error.
double	Inu (const double nu, const double x)
	Evaluate the Inu function for fractional order.
Dpair	InuErr (const double nu, const double x)
	Evaluate the Inu function for fractional order and estimate the error.
double	InuScaled (const double nu, const double x)
	Evaluate the scaled Inu function for fractional order.
Dpair	InuErrScaled (const double nu, const double x)
	Evaluate the scaled Inu function for fractional order and estimate the error.
double	Knu (const double nu, const double x)
	Evaluate the Knu function for fractional order.
Dpair	KnuErr (const double nu, const double x)
	Evaluate the Knu function for fractional order and estimate the error.
double	lnKnu (const double nu, const double x)
	Evaluate log(Knu) for fractional order.
Dpair	lnKnuErr (const double nu, const double x)
	Evaluate log(Knu) for fractional order and estimate the error.
double	KnuScaled (const double nu, const double x)
	Evaluate the scaled Knu scaled function for fractional order.
Dpair	KnuErrScaled (const double nu, const double x)
	Evaluate the scaled Knu function for fractional order and estimate the error.
double	J0Zero (const int n)
	Evaluate the nth zero of the J0 function.
Dpair	J0ZeroErr (const int n)
	Evaluate the nth zero of the J0 function and estimate the error.
double	J1Zero (const int n)
	Evaluate the nth zero of the J1 function.
double	JnuZero (const double nu, const int n)
	Evaluate the nth zero of the Jn function for fractional n.
Dpair	JnuZeroErr (const double nu, const int n)
	Evaluate the nth zero of the Jn function for fractional n and estimate the error.

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Detailed Description

Bessel functions (regular and irregular), of integer, half integer and non-integer order.

Definition at line 27 of file Bessel.h.

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Member Function Documentation

double Bessel::I0 (  const double  x  )  [static]

Evaluate the I0 function.

Dpair Bessel::I0Err (  const double  x  )  [static]

Evaluate the I0 function and estimate the error.

Dpair Bessel::I0ErrScaled (  const double  x  )  [static]

Evaluate the scaled I0 function and estimate the error.

double Bessel::I0Scaled (  const double  x  )  [static]

Evaluate exp(-|x|)*I0(x).

double Bessel::I1 (  const double  x  )  [static]

Evaluate the I1 function.

Dpair Bessel::I1Err (  const double  x  )  [static]

Evaluate the I1 function and estimate the error.

Dpair Bessel::I1ErrScaled (  const double  x  )  [static]

Evaluate the scaled I1 function and estimate the error.

double Bessel::I1Scaled (  const double  x  )  [static]

Evaluate the scaled I1 function.

double Bessel::In (  const int  n, const double  x )  [static]

Evaluate the In function.

Dvector Bessel::InArray (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the In functions for n = nmin,...,nmax.

Dvector Bessel::InArrayScaled (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the scaled In functions for n = 0,...,nmax.

Dpair Bessel::InErr (  const int  n, const double  x )  [static]

Evaluate the In function and estimate the error.

Dvector Bessel::InErrArray (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the In functions for n = nmin...nmax (For now, a clone of InArray).

Dvector Bessel::InErrArrayScaled (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the scaled In functions for n = 0...nmax (For now, a clone of InArray).

Dpair Bessel::InErrScaled (  const int  n, const double  x )  [static]

Evaluate the scaled In function and estimate the error.

double Bessel::InScaled (  const int  n, const double  x )  [static]

Evaluate the scaled In function.

double Bessel::Inu (  const double  nu, const double  x )  [static]

Evaluate the Inu function for fractional order.

Dpair Bessel::InuErr (  const double  nu, const double  x )  [static]

Evaluate the Inu function for fractional order and estimate the error.

Dpair Bessel::InuErrScaled (  const double  nu, const double  x )  [static]

Evaluate the scaled Inu function for fractional order and estimate the error.

double Bessel::InuScaled (  const double  nu, const double  x )  [static]

Evaluate the scaled Inu function for fractional order.

double Bessel::IrregularModifiedSphericalY0 (  const double  x  )  [static]

Evaluate the Irregular Modified Spherical Y0 function.

Dpair Bessel::IrregularModifiedSphericalY0Err (  const double  x  )  [static]

Evaluate the Irregular Modified Spherical Y0 function and estimate the error.

double Bessel::IrregularModifiedSphericalY1 (  const double  x  )  [static]

Evaluate the Irregular Modified Spherical Y1 function.

Dpair Bessel::IrregularModifiedSphericalY1Err (  const double  x  )  [static]

Evaluate the Irregular Modified Spherical Y1 function and estimate the error.

double Bessel::IrregularModifiedSphericalY2 (  const double  x  )  [static]

Evaluate the Irregular Modified Spherical Y2 function.

Dpair Bessel::IrregularModifiedSphericalY2Err (  const double  x  )  [static]

Evaluate the Irregular Modified Spherical Y2 function and estimate the error.

double Bessel::IrregularModifiedSphericalYn (  const int  n, const double  x )  [static]

Evaluate the Irregular Modified Spherical Yn function.

Dvector Bessel::IrregularModifiedSphericalYnArray (  const int  nmax, const double  x )  [static]

Evaluate the Irregular Modified Spherical Yn functions for n = 0,...,nmax.

Dpair Bessel::IrregularModifiedSphericalYnErr (  const int  n, const double  x )  [static]

Evaluate the Irregular Modified Spherical Yn function and estimate the error.

Dvector Bessel::IrregularModifiedSphericalYnErrArray (  const int  nmax, const double  x )  [static]

Evaluate the Spherical Yn functions for n = 0...nmax and estimate the errors.

double Bessel::IrregularSphericalY0 (  const double  x  )  [static]

Evaluate the Irregular Spherical Y0 function.

Dpair Bessel::IrregularSphericalY0Err (  const double  x  )  [static]

Evaluate the Irregular Spherical Y0 function and estimate the error.

double Bessel::IrregularSphericalY1 (  const double  x  )  [static]

Evaluate the Irregular Spherical Y1 function.

Dpair Bessel::IrregularSphericalY1Err (  const double  x  )  [static]

Evaluate the Irregular Spherical Y1 function and estimate the error.

double Bessel::IrregularSphericalY2 (  const double  x  )  [static]

Evaluate the Irregular Spherical Y2 function.

Dpair Bessel::IrregularSphericalY2Err (  const double  x  )  [static]

Evaluate the Irregular Spherical Y2 function and estimate the error.

double Bessel::IrregularSphericalYn (  const int  n, const double  x )  [static]

Evaluate the Irregular Spherical Yn function.

Dvector Bessel::IrregularSphericalYnArray (  const int  nmax, const double  x )  [static]

Evaluate the Irregular Spherical Yn functions for n = 0,...,nmax.

Dpair Bessel::IrregularSphericalYnErr (  const int  n, const double  x )  [static]

Evaluate the Irregular Spherical Yn function and estimate the error.

Dvector Bessel::IrregularSphericalYnErrArray (  const int  nmax, const double  x )  [static]

Evaluate the Yn functions for n = o...nmax and estimate the errors.

double Bessel::J0 (  const double  x  )  [static]

Evaluate the J0 function.

Dpair Bessel::J0Err (  const double  x  )  [static]

Evaluate the J0 function and estimate the error.

double Bessel::J0Zero (  const int  n  )  [static]

Evaluate the nth zero of the J0 function.

Dpair Bessel::J0ZeroErr (  const int  n  )  [static]

Evaluate the nth zero of the J0 function and estimate the error.

double Bessel::J1 (  const double  x  )  [static]

Evaluate the J1 function.

Dpair Bessel::J1Err (  const double  x  )  [static]

Evaluate the J1 function and estimate the error.

double Bessel::J1Zero (  const int  n  )  [static]

Evaluate the nth zero of the J1 function.

double Bessel::Jn (  const int  n, const double  x )  [static]

Evaluate the Jn function.

Dvector Bessel::JnArray (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the Jn functions for n = nmin,...,nmax.

Dpair Bessel::JnErr (  const int  n, const double  x )  [static]

Evaluate the Jn function and estimate the error.

Dvector Bessel::JnErrArray (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the Jn functions for n = nmin...nmax (For now, a clone of JnArray).

double Bessel::Jnu (  const double  nu, const double  x )  [static]

Evaluate the Jnu function for fractional order.

Dvector Bessel::JnuArray (  const double  nu, Dvector  x )  [static]

Evaluate Jnu for the specified nu over the xvalues specified.

Dpair Bessel::JnuErr (  const double  nu, const double  x )  [static]

Evaluate the Jnu function for fractional order and estimate the error.

Dvector Bessel::JnuErrArray (  const double  nu, Dvector  x )  [static]

Evaluate Jnu for the specified nu over the xvalues specified.

double Bessel::JnuZero (  const double  nu, const int  n )  [static]

Evaluate the nth zero of the Jn function for fractional n.

Dpair Bessel::JnuZeroErr (  const double  nu, const int  n )  [static]

Evaluate the nth zero of the Jn function for fractional n and estimate the error.

double Bessel::K0 (  const double  x  )  [static]

Evaluate the K0 function.

Dpair Bessel::K0Err (  const double  x  )  [static]

Evaluate the K0 function and estimate the error.

Dpair Bessel::K0ErrScaled (  const double  x  )  [static]

Evaluate the scaled K0 function and estimate the error.

double Bessel::K0Scaled (  const double  x  )  [static]

Evaluate exp(x)* K0.

double Bessel::K1 (  const double  x  )  [static]

Evaluate the K1 function.

Dpair Bessel::K1Err (  const double  x  )  [static]

Evaluate the K1 function and estimate the error.

Dpair Bessel::K1ErrScaled (  const double  x  )  [static]

Evaluate the scaled K1 function and estimate the error.

double Bessel::K1Scaled (  const double  x  )  [static]

Evaluate the scaled K1 function.

double Bessel::Kn (  const int  n, const double  x )  [static]

Evaluate the Kn function.

Dvector Bessel::KnArray (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the Kn functions for n = nmin,...,nmax.

Dvector Bessel::KnArrayScaled (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the scaled Kn functions for n = nmin,...,nmax.

Dpair Bessel::KnErr (  const int  n, const double  x )  [static]

Evaluate the Kn function and estimate the error.

Dvector Bessel::KnErrArray (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the Kn functions for n = nmin...nmax (For now, a clone of KnArray).

Dvector Bessel::KnErrArrayScaled (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the scaled Kn functions for n = o...nmax (For now, a clone of KnArray).

Dpair Bessel::KnErrScaled (  const int  n, const double  x )  [static]

Evaluate the scaled Kn function and estimate the error.

double Bessel::KnScaled (  const int  n, const double  x )  [static]

Evaluate the scaled Kn function.

double Bessel::Knu (  const double  nu, const double  x )  [static]

Evaluate the Knu function for fractional order.

Dpair Bessel::KnuErr (  const double  nu, const double  x )  [static]

Evaluate the Knu function for fractional order and estimate the error.

Dpair Bessel::KnuErrScaled (  const double  nu, const double  x )  [static]

Evaluate the scaled Knu function for fractional order and estimate the error.

double Bessel::KnuScaled (  const double  nu, const double  x )  [static]

Evaluate the scaled Knu scaled function for fractional order.

double Bessel::lnKnu (  const double  nu, const double  x )  [static]

Evaluate log(Knu) for fractional order.

Dpair Bessel::lnKnuErr (  const double  nu, const double  x )  [static]

Evaluate log(Knu) for fractional order and estimate the error.

double Bessel::RegularModifiedSphericalJ0 (  const double  x  )  [static]

Evaluate the Regular Modified Spherical J0 function.

Dpair Bessel::RegularModifiedSphericalJ0Err (  const double  x  )  [static]

Evaluate the Regular Modified Spherical J0 function and estimate the error.

double Bessel::RegularModifiedSphericalJ1 (  const double  x  )  [static]

Evaluate the Regular Modified Spherical J1 function.

Dpair Bessel::RegularModifiedSphericalJ1Err (  const double  x  )  [static]

Evaluate the Regular Modified Spherical J1 function and estimate the error.

double Bessel::RegularModifiedSphericalJ2 (  const double  x  )  [static]

Evaluate the Regular Modified Spherical J2 function.

Dpair Bessel::RegularModifiedSphericalJ2Err (  const double  x  )  [static]

Evaluate the Regular Modified Spherical J2 function and estimate the error.

double Bessel::RegularModifiedSphericalJn (  const int  n, const double  x )  [static]

Evaluate the Regular Modified Spherical Jn function.

Dvector Bessel::RegularModifiedSphericalJnArray (  const int  nmax, const double  x )  [static]

Evaluate the Regular Modified Spherical Jn functions for n = 0,...,nmax.

Dpair Bessel::RegularModifiedSphericalJnErr (  const int  n, const double  x )  [static]

Evaluate the Regular Modified Spherical Jn function and estimate the error.

Dvector Bessel::RegularModifiedSphericalJnErrArray (  const int  nmax, const double  x )  [static]

Evaluate the Spherical Jn functions for n = 0...nmax and estimate the errors.

double Bessel::RegularSphericalJ0 (  const double  x  )  [static]

Evaluate the Regular Spherical J0 function.

Dpair Bessel::RegularSphericalJ0Err (  const double  x  )  [static]

Evaluate the Regular Spherical J0 function and estimate the error.

double Bessel::RegularSphericalJ1 (  const double  x  )  [static]

Evaluate the Regular Spherical J1 function.

Dpair Bessel::RegularSphericalJ1Err (  const double  x  )  [static]

Evaluate the Regular Spherical J1 function and estimate the error.

double Bessel::RegularSphericalJ2 (  const double  x  )  [static]

Evaluate the Regular Spherical J2 function.

Dpair Bessel::RegularSphericalJ2Err (  const double  x  )  [static]

Evaluate the Regular Spherical J2 function and estimate the error.

double Bessel::RegularSphericalJn (  const int  n, const double  x )  [static]

Evaluate the Regular Spherical Jn function.

Dvector Bessel::RegularSphericalJnArray (  const int  nmax, const double  x )  [static]

Evaluate the Regular Spherical Jn functions for n = 0,...,nmax.

Dpair Bessel::RegularSphericalJnErr (  const int  n, const double  x )  [static]

Evaluate the Regular Spherical Jn function and estimate the error.

Dvector Bessel::RegularSphericalJnErrArray (  const int  nmax, const double  x )  [static]

Evaluate the Jn functions for n = 0...nmax and estimate the errors.

Dvector Bessel::RegularSphericalJnSteedArray (  const int  nmax, const double  x )  [static]

Evaluate the Jn functions for n = 0,...,nmax using Steed's method.

double Bessel::Y0 (  const double  x  )  [static]

Evaluate the Y0 function.

Dpair Bessel::Y0Err (  const double  x  )  [static]

Evaluate the Y0 function and estimate the error.

double Bessel::Y1 (  const double  x  )  [static]

Evaluate the Y1 function.

Dpair Bessel::Y1Err (  const double  x  )  [static]

Evaluate the Y1 function and estimate the error.

double Bessel::Yn (  const int  n, const double  x )  [static]

Evaluate the Yn function.

Dvector Bessel::YnArray (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the Yn functions for n = nmin,...,nmax.

Dpair Bessel::YnErr (  const int  n, const double  x )  [static]

Evaluate the Yn function and estimate the error.

Dvector Bessel::YnErrArray (  const int  nmin, const int  nmax, const double  x )  [static]

Evaluate the Yn functions for n = nmin...nmax (For now, a clone of YnArray).

double Bessel::Ynu (  const double  nu, const double  x )  [static]

Evaluate the Ynu function for fractional order.

Dpair Bessel::YnuErr (  const double  nu, const double  x )  [static]

Evaluate the Ynu function for fractional order and estimate the error.

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The documentation for this struct was generated from the following file:

• Bessel.h

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