This module holds rctj, rcty, envj, msta1, msta2, from
special_functions library, donwloaded from:
https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html
Author:
Original FORTRAN77 version by Shanjie Zhang, Jianming Jin.
FORTRAN90 version by John Burkardt.
Reference:
Shanjie Zhang, Jianming Jin,
Computation of Special Functions,
Wiley, 1996,
ISBN: 0-471-11963-6,
LC: QA351.C45.
Used by
module~~special_functions_mod~~UsedByGraph
module~special_functions_mod
special_functions_mod
module~math_utilities_mod
math_utilities_mod
module~math_utilities_mod->module~special_functions_mod
module~radial_coupling_terms_mod
radial_coupling_terms_mod
module~radial_coupling_terms_mod->module~math_utilities_mod
module~boundary_conditions_mod
boundary_conditions_mod
module~boundary_conditions_mod->module~math_utilities_mod
module~pes_matrix_mod
pes_matrix_mod
module~pes_matrix_mod->module~math_utilities_mod
module~pes_matrix_mod->module~radial_coupling_terms_mod
program~scattering
SCATTERING
program~scattering->module~radial_coupling_terms_mod
program~scattering->module~boundary_conditions_mod
program~scattering->module~pes_matrix_mod
module~propagator_mod
propagator_mod
program~scattering->module~propagator_mod
module~propagator_mod->module~pes_matrix_mod
Nodes of different colours represent the following:
Graph Key
Module
Module
Submodule
Submodule
Subroutine
Subroutine
Function
Function
Program
Program
This Page's Entity
This Page's Entity
Solid arrows point from a submodule to the (sub)module which it is
descended from. Dashed arrows point from a module or program unit to
modules which it uses. Where possible, edges connecting nodes are given different colours to make them easier to distinguish in large graphs.
Functions
public function envj (n, x)
utility function used by MSTA1 and MSTA2.
Arguments
Type
Intent Optional Attributes
Name
::
n
::
x
Return Value
real(kind=8)
public function msta1 (x, mp)
determines a backward recurrence starting point for Jn(x).
Arguments
Type
Intent Optional Attributes
Name
::
x
::
mp
Return Value
integer(kind=4)
public function msta2 (x, n, mp)
determines a backward recurrence starting point for Jn(x).
Arguments
Type
Intent Optional Attributes
Name
::
x
::
n
::
mp
Return Value
integer(kind=4)
Subroutines
public subroutine rctj (n, x, nm, rj, dj)
computes Riccati-Bessel function of the first kind, and derivatives.
Arguments
Type
Intent Optional Attributes
Name
::
n
::
x
::
nm
::
rj (0:n)
::
dj (0:n)
public subroutine rcty (n, x, nm, ry, dy)
computes Riccati-Bessel function of the second kind, and derivatives.
Arguments
Type
Intent Optional Attributes
Name
::
n
::
x
::
nm
::
ry (0:n)
::
dy (0:n)