Computation of continued fractions by square-root modification: Reflection and examples

DOI10.1016/0168-9274(83)90013-2zbMath0643.65009OpenAlexW2088997256MaRDI QIDQ1102069

Haakon Waadeland

Publication date: 1988

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(83)90013-2

zbMATH Keywords

incomplete gamma functionconvergence accelerationcontinued fractionssquare-root modificationD-modificationJ-modificationregular C-fraction expansionright tailwrong tail

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (3)

A survey of truncation error analysis for Padé and continued fraction approximants ⋮ Computation of limit periodic continued fractions. A survey ⋮ An asymptotic property for tails of limit periodic continued fractions

Cites Work

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• Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\)
• An asymptotic property for tails of limit periodic continued fractions
• Derivatives of continued fractions with applications to hypergeometric functions
• Linear approximations to continued fractions \(K(z_ n/1)\)
• Tales About Tails
• Further Results on Convergence Acceleration for Continued Fractions K(a n /1)
• Convergence of Limit k -Periodic Continued Fractions K (a_n /b_n ), and of Subsequences of Their Tails
• Truncation Error Bounds for Limit Periodic Continued Fractions
• Convergence Acceleration for Continued Fractions K(a n /1)
• Convergence of Continued Fractions

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