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A first-order asymptotic representation is developed for low-and intermediate-degree p-modes in stars for which the lower boundary of the resonant acoustic cavity is not located close to the star's centre. To this end, a fourth-order system of differential equations in the radial parts of the divergence and the radial component of the Lagrangian displacement is adopted. The lower boundary of the resonant acoustic cavity is considered to be a turning point for one of the differential equations.doi:10.1051/0004-6361:20030744 fatcat:c2fslmvo2rhipk54kwnwmo4ieu