Ladder operators for Szegő polynomials and related biorthogonal rational functions

Details Ladder operators for Szegő polynomials and related biorthogonal rational functions Ladder operators for Szegő polynomials and related biorthogonal rational functions

1994-06-30

arxiv.org/abs/math/9406227v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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