Chapter 12.17, Problem 2P

From Problem (12.9) $J_{1/2}(x)=\sqrt{2/\pi x}\sin x.$ Use (15.2) to obtain $J_{3/2}(x)$ and $J_{5/2}(x).$ Substitute your results for the $J$

’s into (17.4) to verify the formulas stated for $j_0,j_1,$ and $j_2$ in terms of $\sin x$ and $\cos x$.