There is a possible big problem with the spherical bessel routine:
gsl_sf_bessel_jl(L, x)
When running with L<1000 I can see a second peak at x=1001.
For instance, try L=100 and plot the output from x=90 to x=1100...
Code:
int main(void) {
double result, x, xmax, xmin;
int L;
L=100;
xmin=L-L/20.;
xmax=40.*L;
for(x=xmin;x<xmax;x++) {
result=gsl_sf_bessel_jl(L, x);
printf("%f %E\n",x,result);
}
}
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