Use the recurrence relation in Problem 28 along with (23) and (24) to express J 3/2 (x),

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Use the recurrence relation in Problem 28 along with (23) and (24) to express J3/2(x), J-3/2(x), J5/2(x) and J-5/2(x) in terms of sin x, cos x, and powers of x.


Problem 28

Use the formula obtained in Example 5 along with part (a) of Problem 27 to derive the recurrence relation

2vJv (x) = xJv+1(x) + x Jv-1(x).

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