Brattkus–Davis modes in the solution to the linear stability of plane stagnation-point flow

In a treatment of the linear stability problem of flow near a plane stagnation point, Brattkus and Davis introduced what they called “generalized Görtler disturbances,” which they recognized as being self-similar. In this work, by the introduction of Mellin transforms, these solutions within restrictions are shown to form the elements of an integral representation. Also, derived are suitable constraints on the secondary vorticity, i.e., the x-component, which buttresses the analyses of earlier authors.