Abstract
Basic analogues of the Bessel polynomials and their generalization are introduced. These polynomials are orthogonal on the unit circle $| z | = 1$ with respect to a complex weight function. They satisfy a three-term recurrence relation, and the associated continued fraction is computed. Similar results are also established for the little q-Jacobi polynomials. Integral representations for the modified basic Bessel functions are also established.
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