On the polynomials orthogonal on regular polygons

DOI10.1006/jath.1996.3257zbMath0932.33002OpenAlexW2052626365MaRDI QIDQ1288259

Alexei Zhedanov

Publication date: 7 March 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.3257

zbMATH Keywords

biorthogonalityorthogonality on the unit circleAskey-Szegő polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (9)

Biorthogonality and para-orthogonality of \(R_I\) polynomials ⋮ DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems ⋮ Hypergeometric orthogonal polynomials with respect to Newtonian bases ⋮ An algebraic treatment of the Pastro polynomials on the real line ⋮ Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems ⋮ An explicit example of polynomials orthogonal on the unit circle with a dense point spectrum generated by a geometric distribution ⋮ Polynomials generated by a three term recurrence relation: bounds for complex zeros ⋮ Elliptic polynomials orthogonal on the unit circle with a dense point spectrum ⋮ The size of \((q;q)_n\) for \(q\) on the unit circle

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