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In this paper we consider parafermionic Liouville field theory. We studyintegral representations of three-point correlation functions and develop amethod allowing us to compute them exactly. In particular, we evaluate thegeneralization of Selberg integral obtained by insertion of parafermionicpolynomial. Our result is justified by different approach based on dualrepresentation of parafermionic Liouville field theory described bythree-exponential model.

Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory