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arxiv: math/9406227 · v1 · pith:2RCOUB5Fnew · submitted 1994-06-30 · 🧮 math.CA

Ladder operators for SzegH{o} polynomials and related biorthogonal rational functions

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keywords biorthogonalcirclefunctionsoperatorspolynomialsrationalszegunit
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We find the raising and lowering operators for orthogonal polynomials on the unit circle introduced by Szeg\H{o} and for their four parameter generalization to ${}_4\phi_3$ biorthogonal rational functions on the unit circle.

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