(Recursion formulas) It can be shown thatwhere the “Z = • • •” means that the formula hold...

(Recursion formulas) It can be shown that

where the “Z = • • •” means that the formula holds with Z equal to each of the itemized functions. In particular, the formula

corresponding to (4.2) for the case u = 0, is useful in evaluating certain Bessel function integrals by integration by parts.

From the formulas given above, show that

and