Two-point Padé tables and 𝑇-fractions

DOI10.1090/S0002-9904-1977-14284-5zbMath0361.30015OpenAlexW1989924343MaRDI QIDQ4134214

W. J. Thron, William B. Jones

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1977-14284-5

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Continued fractions; complex-analytic aspects (30B70)

Related Items

Optimization of two-point Padé-type approximants ⋮ Continued fractions associated with trigonometric and other strong moment problems ⋮ Continued fractions in numerical analysis ⋮ Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation ⋮ Solution of the strong Hamburger moment problem by Laurent continued fractions ⋮ A Strong Stieltjes Moment Problem ⋮ Combinatorial theory of \(\text{T}\)-fractions and two points Padé approximants ⋮ Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. I. Algebraic aspects ⋮ General T-fractions corresponding to functions satisfying certain boundedness conditions ⋮ Computation of poles of two-point Padé approximants and their limits ⋮ Kernel polynomials from \(L\)-orthogonal polynomials ⋮ \(L\)-orthogonal polynomials associated with related measures ⋮ On general two-point continued fraction expansions and Padé tables ⋮ Laurent continued fractions corresponding to pairs of power series ⋮ Strongly bounded holomorphic functions and corresponding PC-fractions ⋮ Contractive Laurent fractions and nested discs

Cites Work

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• Rational approximations corresponding to Newton series (Newton-Padé approximants)
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
• Some properties of continued fractions 1+𝑑₀𝑧+𝐾(𝑧/\vphantom{𝑧(1+𝑑_{𝑛}𝑧)}.\kern-\nulldelimiterspace(1+𝑑_{𝑛}𝑧))