Ladder operators for Szegö polynomials and related biorthogonal rational functions

Ismail, Mourad; Rahman, Mizan

doi:10.1090/S0002-9939-96-03304-7

Ladder operators for Szegö polynomials and related biorthogonal rational functions
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by Mourad E. H. Ismail and Mizan Rahman PDF

Proc. Amer. Math. Soc. 124 (1996), 2149-2159 Request permission

Abstract:

We find the raising and lowering operators for orthogonal polynomials on the unit circle introduced by Szegő and for their four parameter generalization to ${}_4\phi _3$ biorthogonal rational functions on the unit circle.

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