Assoc_Laguerre Class Reference

#include <assoc_laguerre.h>

Collaboration diagram for Assoc_Laguerre:

Public Member Functions
	Assoc_Laguerre ()
	~Assoc_Laguerre ()
void	generate (const int &n, const int &l, const double ns, double *const &s, double *L)
	generate the associated Laguerre polynomial (overloaded for double*)
void	generate (const int &n, const int &l, std::vector< double > &x, std::vector< double > &y)
	generate the associated Laguerre polynomial (overloaded for std::vector)
double	laguerre (const int &n, const double x)
	Laguerre polynomial.
double	associate_laguerre (const int &n, const double x, const int &a)
	recursive relationship to find the associated Laguerre polynomial
double	value (const int &n, const int &l, const double &s)
	wrapper for associate_laguerre
int	factorial (const int &n)
	factorial function

Constructor & Destructor Documentation

Assoc_Laguerre()

Assoc_Laguerre::Assoc_Laguerre

(

)

~Assoc_Laguerre()

Assoc_Laguerre::~Assoc_Laguerre

(

)

Member Function Documentation

associate_laguerre()

double Assoc_Laguerre::associate_laguerre	(	const int &	n,
		const double	x,
		const int &	a
	)

recursive relationship to find the associated Laguerre polynomial

Parameters

n	degree of the polynomial
x	radial coordinate
a	order of the polynomial

Returns

L^(a)_n(x)

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factorial()

int Assoc_Laguerre::factorial

(

const int &

n

)

factorial function

Parameters

n

Returns

n!

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generate() [1/2]

void Assoc_Laguerre::generate	(	const int &	n,
		const int &	l,
		const double	ns,
		double *const &	s,
		double *	L
	)

generate the associated Laguerre polynomial (overloaded for double*)

Parameters

n	principal quantum number
l	orbital quantum number
ns	number of x-coordinates
s	x-coordinates
L	y-coordinates

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generate() [2/2]

void Assoc_Laguerre::generate	(	const int &	n,
		const int &	l,
		std::vector< double > &	x,
		std::vector< double > &	y
	)

generate the associated Laguerre polynomial (overloaded for std::vector)

Parameters

n	principal quantum number
l	orbital quantum number
x	x-coordinates in std::vector
y	y-coordinates in std::vector

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laguerre()

double Assoc_Laguerre::laguerre	(	const int &	n,
		const double	x
	)

Laguerre polynomial.

Parameters

n	degree of the polynomial
x	radial coordinate

Returns

L_n(x)

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value()

double Assoc_Laguerre::value	(	const int &	n,
		const int &	l,
		const double &	s
	)

wrapper for associate_laguerre

Parameters

n	principal quantum number
l	orbital quantum number
s	radial coordinate

Returns

L^(2l+1)_(n-l-1)(s)

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The documentation for this class was generated from the following files:

• /home/runner/work/abacus-develop/abacus-develop/source/source_base/assoc_laguerre.h
• /home/runner/work/abacus-develop/abacus-develop/source/source_base/assoc_laguerre.cpp