Meromorphic extension of analytic continued fractions across the line of nonconvergence

DOI10.1216/rmjm/1181073022zbMath0738.30006OpenAlexW2032318285MaRDI QIDQ1178600

Hans-J. Runckel

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181073022

zbMATH Keywords

continued fractions

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Analytic continuation of functions of one complex variable (30B40)

Related Items

Solution formulas for linear difference equations with applications to continued fractions, Computation of limit periodic continued fractions. A survey, Meromorphic Extension of Analytic Continued Fractions Across Their Divergence Line with Applications to Orthogonal Polynomials

Cites Work

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• Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\)
• Functions defined by continued fractions meromorphic continuation
• Continuity on the boundary and analytic continuation of continued fractions
• Enhancing the convergence region of a sequence of bilinear transformations.
• Analytic continuation of functions difined by means of continued fraction.