On the orthogonality measure of the q-pollaczek polynomials

The q-Pollaczek polynomials F ,(x) depend on four parameters u,v, ∆, q and are given by the recurrence relation (1-^qn+1)F_n+1(x) = 2[(1-u∆qⁿ)x+vqⁿ]F_n(x)- (1-∆²q^n-1)F_n-1 (x), n ≥ 1, and the initial cond i t i ons F_o(x)=1 F₁(x) = 2 [(1-u∆)x+v]/1-q. The measure with respect to which the F_n(x)'s are orthogonal is determined when the parameters are subject to the constraints O<u<∆< 1, ∆(1-u) >±v, 0 < q < 1. This measure turns out to be absolutelv continuous with respect to Lebesgue's measure.