00 7. Using the generating function for Bessel functions, 8(4,1)=e347 = 3), (2), x ΣΙ, (), n=0 prove the following ident
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00 7. Using the generating function for Bessel functions, 8(4,1)=e347 = 3), (2), x ΣΙ, (), n=0 prove the following identities a) 1.(x)+2J2 (x)+2J4(x) +... = 1 b) 8(u+v,t) = g(u,t)g(v,t) c) J.(u + v) = {Jm(u)Ju-m(v) 00 = n-m m=-00 , -- co 7 1 d) ),(x) == cos(xsin 0 - no)do TT 0 2 8. Show that 11/2(x) = sin x MTX