spherical bessel
@hhoward : the sperical bessel j defined as is now implemented defined by 10.47.3 equation on https://dlmf.nist.gov/10.47. I obtained a error of 3.64e-12 with n = 25, z = 20 + 20.3i.
On arb website, there is a void acb_hypgeom_spherical_y(acb_t res, slong n, slong m, const acb_t theta, const acb_t phi, slong prec)
which is base on evaluation by a legendre polynomial... May be we could use this functionc