public function BESSJ0(X)
This function calculates the first kind Bessel function
of order 0, for any REAL X. The polynomial approximation by
series of Chebyshev polynomials is used for 0<X<8 and 0<8/X<1. References:
M.Abramowitz, I.A.Stegun, Handbook of Mathematical Functions, 1965. C.W.Clenshaw, Chebyshev Series for Mathematical Functions, Mathematical Tables, Vol. 5, 1962.

Arguments
Type
Intent Optional Attributes
Name
double precision,
intent(in)
::
X
Argument of the Bessel function.

Return Value
doubleprecision
proc~~bessj0~~CalledByGraph
proc~bessj0
BESSJ0
proc~bessj
BESSJ
proc~bessj->proc~bessj0
proc~determine_bessel_array
determine_bessel_array
proc~determine_bessel_array->proc~bessj
proc~determine_nmax
determine_nmax
proc~determine_nmax->proc~bessj
proc~int_t_rel
int_T_rel
proc~int_t_rel->proc~bessj
proc~funct_g_rel
funct_g_rel
proc~funct_g_rel->proc~int_t_rel
proc~integrate_resu_rel
integrate_resU_rel
proc~integrate_resu_rel->proc~int_t_rel
proc~principal_integral_rel
principal_integral_rel
proc~integrate_resu_rel->proc~principal_integral_rel
proc~om_double_scan
om_double_scan
proc~om_double_scan->proc~determine_bessel_array
proc~om_double_scan->proc~determine_nmax
proc~disp
disp
proc~om_double_scan->proc~disp
proc~calc_eigen
calc_eigen
proc~om_double_scan->proc~calc_eigen
proc~secant
secant
proc~om_double_scan->proc~secant
proc~om_scan
om_scan
proc~om_scan->proc~determine_bessel_array
proc~om_scan->proc~determine_nmax
proc~om_scan->proc~disp
proc~om_scan->proc~calc_eigen
proc~om_scan->proc~secant
program~alps
alps
program~alps->proc~determine_bessel_array
program~alps->proc~determine_nmax
program~alps->proc~om_double_scan
program~alps->proc~om_scan
proc~map_search
map_search
program~alps->proc~map_search
proc~refine_guess
refine_guess
program~alps->proc~refine_guess
proc~integrate_res_rel
integrate_res_rel
proc~integrate_res_rel->proc~integrate_resu_rel
proc~principal_integral_rel->proc~funct_g_rel
proc~full_integrate
full_integrate
proc~full_integrate->proc~integrate_res_rel
proc~disp->proc~full_integrate
proc~calc_eigen->proc~disp
proc~map_search->proc~disp
proc~map_search->proc~refine_guess
proc~refine_guess->proc~disp
proc~refine_guess->proc~secant
proc~secant->proc~disp
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