Let m and n be integers, where 0 ‰¤ m

(a) Show that the zeros of the polynomial z2n + 1 lying above the real axis are

And that there are none on that axis
(b) With the aid of Theorem 2 in Sec. 76, show that

Where ck are the zeros found in part (a) and

Then use the summation formula

Obtain the expression

(c) Use the final result in part (b) to complete the derivation of the integration formula.

CSC (2k1)JT Ckexp | (k = 0, 1, 2, ,n-1) 2m 2n 2m1 0