A hollow sphere of inner radius a has the potential specified on its surface to be Ф = V(θ, ф). Prove the equivalence of the two forms of solution for the potential inside the sphere:

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V(e', $') (r? + a² - 2ar cos y)/2 a(a? — г?) (a) P(x) ;dN' where cos y = cos e cos e' + sin 0 sin 0' cos(o - 6'). d(x) = É A im Y m(0, 4) (b) 1=0 m=-I where Am = S dN' Ym(O', $')V(8', $').