When does f(z) have a regular C-fraction expansion or a normal Padé table?

DOI10.1016/0377-0427(89)90332-4zbMath0687.30005OpenAlexW2107074846MaRDI QIDQ1262966

Lisa Jacobsen, Haakon Waadeland

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90332-4

zbMATH Keywords

normality

Mathematics Subject Classification ID

Padé approximation (41A21) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Cites Work

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• Padé tables of entire functions of very slow and smooth growth
• General T-fractions corresponding to functions satisfying certain boundedness conditions
• Convergence of Limit k -Periodic Continued Fractions K (a_n /b_n ), and of Subsequences of Their Tails
• A Result on Nearness of Functions and their Regular C-Fraction Expansions
• Convergence of Continued Fractions
• Time-Variable Singularities for Solutions of the Heat Equation
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
• A general continued fraction expansion
• Continued Fractions and Totally Monotone Sequences
• Proof of a Conjecture of Schoenberg on the Generating Function of a Totally Positive Sequence
• Continued fraction expansions for functions with positive real parts

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