NiHu::bessel Namespace Reference

namespace encapsulating Bessel functions More...

Classes
struct	make_complex
	metafunction converting a floating point type to a complex type More...
struct	make_complex< std::complex< T > >

Functions
template<>
std::complex< double >	K< 0 > (std::complex< double > const &z)
template<>
std::complex< double >	K< 1 > (std::complex< double > const &z)
const double	large_lim (7.)
	limit between small and large argument series
template<class T >
void	mag_arg_large (int nu, T const &z, T &u, T &phi)
	large argument Bessel function Taylor series coefficients More...
template<int nu, class T >
T	J_small (T const &z)
	small argument expansion of J_nu(z) for nu = 0, 1, 2 More...
template<int nu, class T >
T	J_large (T const &z)
	large argument expansion of J_nu(z) for nu = 0, 1, 2 More...
template<int nu, class T >
T	J (T const &z)
	Bessel function J_nu(z) More...
template<int nu>
std::complex< double >	Y_small (std::complex< double > const &z)
	small argument expansion of Y_nu(z) More...
template<int nu>
std::complex< double >	Y_large (std::complex< double > const &z)
	large argument expansion of Y_nu(z) for nu = 0, 1, 2 More...
template<int nu>
std::complex< double >	Y (std::complex< double > const &z)
	Bessel function Y_nu(z) More...
template<int nu, int kind, class T >
make_complex< T >::type	H_large (T const &z)
	large argument expansion of H^(K)_nu(z) More...
template<int nu, int kind, class T >
make_complex< T >::type	H (T const &z)
	H^(K)_nu(z) Bessel function. More...
template<int nu, class T >
make_complex< T >::type	K (T const &z)
	K_nu(z) modified Bessel function. More...

Detailed Description

namespace encapsulating Bessel functions

Function Documentation

H()

template<int nu, int kind, class T >

make_complex<T>::type NiHu::bessel::H

(

T const &

z

)

H^(K)_nu(z) Bessel function.

Template Parameters

nu	the Bessel function's order
kind	the Bessel function's kind
T	the Bessel argument type

Parameters

[in]

z

the argument

Returns

H^(2)_nu(z)

Definition at line 365 of file math_functions.hpp.

H_large()

template<int nu, int kind, class T >

make_complex<T>::type NiHu::bessel::H_large

(

T const &

z

)

large argument expansion of H^(K)_nu(z)

Template Parameters

nu	the Bessel function's order
T	the Bessel argument type

Parameters

[in]

z

the argument

Returns

H^(2)_nu(z)

Definition at line 328 of file math_functions.hpp.

J()

template<int nu, class T >

T NiHu::bessel::J

(

T const &

z

)

Bessel function J_nu(z)

Template Parameters

nu	the Bessel function's order
T	the Bessel argument type

Parameters

[in]

z

the argument

Returns

J_nu(z)

Definition at line 223 of file math_functions.hpp.

J_large()

template<int nu, class T >

T NiHu::bessel::J_large

(

T const &

z

)

large argument expansion of J_nu(z) for nu = 0, 1, 2

Template Parameters

nu	the Bessel function's order
T	the Bessel argument type

Parameters

[in]

z

the argument

Returns

J_nu(z)

Definition at line 195 of file math_functions.hpp.

J_small()

template<int nu, class T >

T NiHu::bessel::J_small

(

T const &

z

)

small argument expansion of J_nu(z) for nu = 0, 1, 2

Template Parameters

nu	the Bessel function's order
T	the Bessel argument type

Parameters

[in]

z

the argument

Returns

J_nu(z)

Definition at line 172 of file math_functions.hpp.

K()

template<int nu, class T >

make_complex<T>::type NiHu::bessel::K

(

T const &

z

)

K_nu(z) modified Bessel function.

Template Parameters

nu	the Bessel function's order
T	the Bessel argument type

Parameters

[in]

z

the argument

Returns

K_nu(z)

mag_arg_large()

template<class T >

void NiHu::bessel::mag_arg_large	(	int	nu,
		T const &	z,
		T &	u,
		T &	phi
	)

large argument Bessel function Taylor series coefficients

Template Parameters

T	the argument type

Parameters

[in]	nu	the Bessel function order
[in]	z	the Bessel argument
[out]	u	the magnitude approximation
[out]	phi	the phase approximation

Definition at line 91 of file math_functions.hpp.

Y()

template<int nu>

std::complex<double> NiHu::bessel::Y

(

std::complex< double > const &

z

)

Bessel function Y_nu(z)

Template Parameters

nu	the Bessel function's order

Parameters

[in]

z

the argument

Returns

Y_nu(z)

Definition at line 315 of file math_functions.hpp.

Y_large()

template<int nu>

std::complex<double> NiHu::bessel::Y_large

(

std::complex< double > const &

z

)

large argument expansion of Y_nu(z) for nu = 0, 1, 2

Template Parameters

nu	the Bessel function's order

Parameters

[in]

z

the argument

Returns

Y_nu(z)

Definition at line 284 of file math_functions.hpp.

Y_small()

template<int nu>

std::complex<double> NiHu::bessel::Y_small

(

std::complex< double > const &

z

)

small argument expansion of Y_nu(z)

Template Parameters

nu	the Bessel function's order

Parameters

[in]

z

the argument

Returns

Y_nu(z)

Definition at line 236 of file math_functions.hpp.