Abstract
We solve the Eliashberg equations for a two-dimensional tight-binding band and anisotropic interaction due to exchange of phonons and antiferromagnetic spin fluctuations. For smaller band fillings a mixture of simple and extended s-wave pairing is stable while for band fillings closer to half-filling the d-wave pairing state becomes stable. The density of state N(ω) becomes highly asymmetric in ω for smaller band fillings which is an effect of particle-hole asymmetry. For the d-wave state N(ω) is linear in ω for small ω and exhibits a logarithmic singularity at the gap amplitude.
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