Analytic continuation of functions given by continued fractions, revisited

DOI10.1216/rmjm/1181072585zbMath0791.30001OpenAlexW2010846533MaRDI QIDQ1316358

Lisa Lorentzen

Publication date: 7 July 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072585

zbMATH Keywords

meromorphic continuationmodification

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Analytic continuation of functions of one complex variable (30B40)

Related Items (4)

A note on separate convergence for continued fractions ⋮ Computation of limit periodic continued fractions. A survey ⋮ The closure of convergence sets for continued fractions are convergence sets ⋮ Padé approximation and continued fractions

Cites Work

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• Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\)
• Functions defined by continued fractions meromorphic continuation
• Meromorphic continuation of functions given by limit k-periodic continued fractions
• Convergence questions for limit periodic continued fractions
• Continuity on the boundary and analytic continuation of continued fractions
• General Convergence of Continued Fractions
• Nearness of continued fractions.
• Analytic continuation of functions difined by means of continued fraction.

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