Some properties of continued fractions 1+𝑑₀𝑧+𝐾(𝑧/\vphantom{𝑧(1+𝑑_{𝑛}𝑧)}.\kern-\nulldelimiterspace(1+𝑑_{𝑛}𝑧))

DOI10.1090/S0002-9904-1948-08985-6zbMath0039.29101MaRDI QIDQ5798915

W. J. Thron

Publication date: 1948

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

zbMATH Keywords

series, summability

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Szegö polynomials: Some relations to \(L\)-orthogonal and orthogonal polynomials, Optimization of two-point Padé-type approximants, The Graham-Knuth-Patashnik recurrence: symmetries and continued fractions, General T-fraction expansions for ratios of hypergeometric functions, Continued fractions in numerical analysis, 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, A simple algorithm for expanding a power series as a continued fraction, Computation of poles of two-point Padé approximants and their limits, Convergence properties of random T-fractions, On the use of a corresponding sequence algorithm for \(\delta\)-fractions, Singularities of a Class of Meromorphic Functions, Two-point Padé tables and 𝑇-fractions, Further properties of T-fractions, Strongly bounded holomorphic functions and corresponding PC-fractions

Cites Work

• A general continued fraction expansion
• Twin Convergence Regions for Continued Fractions b o + K(1/b n )