<![CDATA[In this paper a general analysis of the three-body Coulomb potential polynomials was presented. The three-body Coulomb wave functions expansion in a non-orthogonal Laguerre-type base function is shown to give two modified Pollaczek polynomials. The frozen-core model is used to examine the three-body Coulomb Hamiltonian. The resulting three-term recurrence relation is a special case of the Pollaczek polynomials which is a set of orthogonal polynomials having a nonempty continuous spectrum in addition to an infinite discrete spectrum. The completeness of the three-body Coulomb wave functions is further studied for different Laguerre basis size.]]>
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