Uniform asymptotic expansions for solutions of the parabolic cylinder and Weber equations

Asymptotic expansions are derived for solutions of the parabolic cylinder and Weber differential equations. In addition inhomogeneous versions equations considered, case polynomial forcing terms. The involve exponential, Airy Scorer functions slowly varying analytic coefficient involving simple coefficients. approximations uniformly valid large values parameter unbounded real complex argument. Explicit readily computable error bounds either furnished or available all approximations.