After all that we have learned, we know that in order to determine the solution of the initial problem in Sec. 10.1 we would have to calculate the integrals
{A}_{j} = {2\over {
c}^{2}{J}_{1}^{2}(c{α}_{j})}{\mathop{\mathop{\mathop{∫
}\nolimits }}\nolimits }_{0}^{c}f(ρ){J}_{
0}({α}_{j}ρ)ρdρ
| (10.86) |