Chapter 12.23, Problem 10MP

Use the recursion relations of Section 15 (and, as needed, Sections 12, 13, 17, and 20) to verify the formulas in Problems 10 to 14.

${\displaystyle {\int }_0^{\infty }{x}^{-p}}{J}_{p+1}(x)dx=\frac{1}{2^p\Gamma (1+p)}$.