English: The general solution of Bessel equation is F(k) = c₁J₀(k) + c₂Y₀(k) So again you apply the boundary condition F(0) < ∞ and since Y₀(k) is unbounded you have c₂ = 0 so your solution becomes F(k) = c₁J₀(k).
Telugu: బెస్సెల్ సమీకరణం యొక్క సాధారణ పరిష్కారం F(k) = c₁J₀(k) + c₂Y₀(k) అవుతుంది.