Chapter 12.17, Problem 12P

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.

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