| dc.description |
THE author has communicated the following corrections:(a) Equation (4.2) should read simply Jx{∂/∂x[(1-x2)∂U(x,t)/∂x]+[(α-β)+(α+β)x]∂U(x,t)/∂x}=-(n+1)(n+α+β)u(α,β)(n,t), which follows directly from the fact that the differential equation [(1-x2)Y′(x)]′+[(α-β)+(α+β)x]Y′(x)+(n+1)(n+α+β)Y(x)=0 is satisfied by Y(x)=(1-x)α(1+x)βPn(α,β)(x).(b) The conditions given in (5.4) do not obtain because of the vanishing of the conductivity K = d(1 − x<sup>2</sup>) at x = ± 1. Thus, equation (5.7) should read u[(a+b)/2d,(b-a)/2d]=e-(n+1){(nd+b)/pc}t∫-11F(x)Pn(α,β)(x)dx. |
