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Ladder operators for Szeg\H{o} polynomials and related biorthogonal rational functions

Mourad E. H. Ismail·Mizan Rahman
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Abstract

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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Mourad E. H. Ismail, Mizan Rahman. 1994-06-30. Ladder operators for Szeg\H{o} polynomials and related biorthogonal rational functions. https://arxiv.org/abs/math/9406227

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