BESSJ0 Function

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 IntentOptional Attributes Name
double precision, intent(in) :: X

Argument of the Bessel function.

Return Value doubleprecision


Called by

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~secant_osc secant_osc proc~om_double_scan->proc~secant_osc 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 proc~om_scan->proc~secant_osc 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~refine_guess->proc~secant_osc proc~secant->proc~disp proc~secant_osc->proc~disp