Derivatives of continued fractions with applications to hypergeometric functions

DOI10.1016/0377-0427(87)90184-1zbMath0658.40004OpenAlexW1978132580MaRDI QIDQ1111088

Haakon Waadeland

Publication date: 1987

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(87)90184-1

zbMATH Keywords

hypergeometric functionsNumerical examplesmethod on regular C-fraction expansions

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Convergence and divergence of continued fractions (40A15)

Related Items (7)

A survey of truncation error analysis for Padé and continued fraction approximants ⋮ Computation of limit periodic continued fractions. A survey ⋮ Computation of continued fractions by square-root modification: Reflection and examples ⋮ Linear approximations to continued fractions \(K(z_ n/1)\) ⋮ A priori truncation error bounds for continued fractions ⋮ Some local properties of two-dimensional continued fractions ⋮ A note on the relation between two convergence acceleration methods for ordinary continued fractions

Cites Work

• Further Results on Convergence Acceleration for Continued Fractions K(a n /1)
• Convergence Acceleration for Continued Fractions K(a n /1)
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