Abstract
A Favard type theorem for special sequences of Laurent polynomials is proved. This result is used to establish the relation between T-fractions and orthogonal Laurent polynomials (OLPs). Applications are given to T-fractions for (quotients of) hypergeometric functions of type 2 F 1 and confluent forms. In the special case of 2 F 1( a,1; c; z) a weight function is given on the unit circle in C for the corresponding OLPs.
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