1. Use of the Generating Function of the Bessel Polyomial Recall from class notes that cos x Jo(x) +2(-1)". Jan(x) , n=1 sin z = 2(-1)" J2n+1(x) . n=1 Use the generating function for the Bessel function to prove the two identities. You should give all the details. Hint: Set t = exp(ie) in the generating function and recall the trigonometric identity for exp(i0). %3D

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form o…