Ladder operators for Szegö polynomials and related biorthogonal rational functions

DOI10.1090/S0002-9939-96-03304-7zbMath0864.33014arXivmath/9406227MaRDI QIDQ4890285

Mizan Rahman, Mourad E. H. Ismail

Publication date: 11 August 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9406227

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

Two-parameter ladder operators for spherical Bessel functions ⋮ New q -Hermite polynomials: characterization, operators algebra and associated coherent states ⋮ On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval

Cites Work

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• Orthogonal polynomials and some q-beta integrals of Ramanujan
• q -Analogs of Some Biorthogonal Functions
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Biorthogonality of a System of Rational Functions with Respect to a Positive Measure on $[ - 1,1$]
• Convolutions of Orthonormal Polynomials
• A q-Beta Integral on the Unit Circle and Some Biorthogonal Rational Functions
• q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals
• The Askey–Wilson polynomials and q-Sturm–Liouville problems
• q-Hermite Polynomials and Classical Orthogonal Polynomials

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