Inverse polynomial expansions of Laurent series. II

DOI10.1016/0377-0427(89)90337-3zbMath0684.30030OpenAlexW2036180223MaRDI QIDQ1825314

Arnold Knopfmacher, John Knopfmacher

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)90337-3

zbMATH Keywords

Laurent seriesseries expansionsdegrees of approximation

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25)

Related Items (8)

Approximation orders of formal Laurent series by Oppenheim rational functions ⋮ q-ENGEL SERIES EXPANSIONS AND SLATER'S IDENTITIES ⋮ Exceptional sets of the Oppenheim expansions over the field of formal Laurent series ⋮ A note on Engel series expansions of Laurent series and Hausdorff dimensions ⋮ Engel expansions and the Rogers-Ramanujan identities ⋮ Some remarks on the generalized St. Petersburg games and formal Laurent series expansions ⋮ Engel Series Expansions of Laurent Series and Hausdorff Dimensions ⋮ Continued fractions for strong Engel series and Lüroth series with signs

Cites Work

• Unnamed Item
• Certain continued fractions associated with the Padé table
• Inverse polynomial expansions of Laurent series
• Continued fractions of algebraic power series in characteristic 2
• The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
• Convergence of Continued Fractions
• The representation of real numbers by infinite series of rationals
• A general continued fraction expansion
• A product representation for power series

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