ASYMPTOTIC REPRESENTATION OF NONRADIAL G(-MODES IN STARS WITH A CONVECTIVE CORE())

The asymptotic representation of linear, isentropic, low-frequency g()-modes in spherically symmetric stars developed by Smeyers et al. (19 95) is extended to more realistic stellar models composed of a convect ive core in adiabatic equilibrium and a radiative envelope. By means o f a boundary-layer method, it is taken into account that the transitio n from the convective core to the radiative envelope is a turning poin t for one of the governing differential equations in the divergence an d the radial component of the Lagrangian displacement.