Location of the zeros of polynomials satisfying three-term recurrence relations. I. General case with complex coefficients

DOI10.1016/0021-9045(85)90142-XzbMath0606.30007MaRDI QIDQ1084536

Elie Leopold, Jacek Gilewicz

Publication date: 1985

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

zbMATH Keywords

orthogonal polynomialsPadé approximationsrecurrence relations

Mathematics Subject Classification ID

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)

Related Items

Location of the zeros of polynomials satisfying three-term recurrence relations. I. General case with complex coefficients ⋮ Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product ⋮ A simple observation on simple zeros ⋮ On the zeros of \(d\)-symmetric \(d\)-orthogonal polynomials ⋮ Monotonicity of zeros for a class of polynomials including hypergeometric polynomials ⋮ Generalized moment representations and Padé-Chebyshev approximations ⋮ Location of the zeros of polynomials satisfying three-term recurrence relations. III. Positive coefficients case

Cites Work

• Padé-type approximation and general orthogonal polynomials
• Location of the zeros of polynomials satisfying three-term recurrence relations. III. Positive coefficients case
• Location of the zeros of polynomials satisfying three-term recurrence relations. I. General case with complex coefficients
• Approximants de Padé
• Zero-Free Parabolic Regions for Sequences of Polynomials
• On the Numerators of the Convergents of the Stieltjes Continued Fractions
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