Chapter 12.17, Problem 14P

Use the Section 15 recursion relations and (17.4) to obtain the following recursion relations for spherical Bessel functions. We have written them for $j_n,$ but they are valid for $y_n$ and for the $h_n$

’s.

$(d/dx)j_n(x)=j_{n-1}(x)-(n+1)j_n(x)/x$