Basic hypergeometric functions and orthogonal Laurent polynomials

DOI10.1090/S0002-9939-2011-11066-9zbMath1264.33021OpenAlexW2033647485MaRDI QIDQ2884428

M. S. Costa, R. L. Lamblém, A. Sri Ranga, Eduardo Paciência Godoy

Publication date: 29 May 2012

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11066-9

zbMATH Keywords

basic hypergeometric functionsSzegő polynomialsorthogonal Laurent polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (8)

Basic hypergeometric polynomials with zeros on the unit circle ⋮ Sieved para-orthogonal polynomials on the unit circle ⋮ Christoffel formula for kernel polynomials on the unit circle ⋮ Orthogonal polynomials on the unit circle and chain sequences ⋮ Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator ⋮ An explicit example of polynomials orthogonal on the unit circle with a dense point spectrum generated by a geometric distribution ⋮ Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences ⋮ Orthogonal polynomials and quadrature rules on the unit circle associated with perturbations of symmetric measures

Cites Work

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• Szegő polynomials from hypergeometric functions
• Ramanujan's Extensions of the Gamma and Beta Functions
• Shorter Notes: A Simple Proof of Ramanujan's 1 Ψ 1 Sum

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