Further properties of the Falkner-Skan equation (Q1087074)

We present some analytical perturbation results from which the skin- friction is accurately predicted over the range \(1/2<\beta <\infty\), where \(\beta\) is the usual Falkner-Skan parameter. The first eigenvalue for various \(\beta\) in the range \(2<\beta <\infty\) is also calculated numerically and certain properties noted. We find, analytically, the whole set of eigensolutions for the case when \(\beta\) is large.