3. (a) Show that Ju(I) = - 2 71/25 (v + } ) (2) cos (z sin ?) cos z (0) do, (2) where v > -?. (b) Derive the following integral representations for Ju(I). 2 Ju(T) = -1/25 (V 4 1) (2) , etixcose sin2(0) do. (3) 4. (a) Using the generating function for H(r), derive its series representation given by [n/2] Hn(z) = (-1)sn! (n - 2s)!s! (2x)"-2s (b) Show that Han(x) = (-1)" >(-1)25 (2x) 25 (2n)! $=0 (2s)!(n - s)!' Han+l(x) = (-1)" (-1)s(2x)25+1 (2n + 1)! $=0 (2s + 1)!(n - s)