Orthogonality on the semicircle: old and new results

DOI10.1553/etna_vol59s99zbMath1523.30014OpenAlexW4383739283MaRDI QIDQ6076069

Gradimir V. Milovanović

Publication date: 21 September 2023

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2021-2030/vol59/abstract.php?vol=59&pages=99-115

zbMATH Keywords

orthogonal polynomialszerosLaurent polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Cites Work

• Orthogonality and recurrence for ordered Laurent polynomial sequences
• Polynomials orthogonal on a circular arc
• Polynomials orthogonal on the semicircle
• Polynomials orthogonal on the semicircle. II
• Biorthogonal Laurent polynomials with biorthogonal derivatives
• Numerical differentiation of analytic functions using quadratures on the semicircle
• The ``classical Laurent biorthogonal polynomials
• Orthogonal Laurent polynomials and strong moment theory: A survey
• On polynomials orthogonal on the semicircle and applications
• On polynomials orthogonal on a circular arc
• Interpolation Processes
• On the Zeros of Polynomials Orthogonal on the Semicircle
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