On conjectures of Stenger in the theory of orthogonal polynomials

DOI10.1186/s13660-019-2107-6zbMath1499.33038OpenAlexW2948349556WikidataQ122962502 ScholiaQ122962502MaRDI QIDQ2067903

Ernst Hairer, Walter Gautschi

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2107-6

zbMATH Keywords

Lagrange interpolationmatrix eigenvalueszeros of orthogonal polynomialslocation of eigenvalues in complex plane

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Related Items (4)

The Stenger conjectures and the \(A\)-stability of collocation Runge-Kutta methods ⋮ Indefinite Integration Operators Identities, and Their Approximations ⋮ Publications by, and About, Frank Stenger ⋮ CONJS

Uses Software

• RODAS
• OPQ

Cites Work

• On some orthogonal polynomials of interest in theoretical chemistry
• Solving Ordinary Differential Equations I
• Solving Ordinary Differential Equations II
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