The velocity and the temperature slip coefficients are evaluated for general gas-surface scattering kernels by a variational method. The results are expressed in terms of a set of accommodation coefficients.

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The method of singular eigenfunction expansions is applied to time-independent, one-speed, half-space transport problems with anisotropic scattering. Adjoint eigenfunctions are constructed such that a set of half-range bi-orthogonality relations is valid. These relations lead to the expansion coefficients in a direct manner. The adjoint eigenfunctions are also used to express the half-space albedo operator which relates the emerging angular density to the ingoing one.