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On the convergence of limit periodic continued fractions K(a n/1), wherea n→−1/4. Part III

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Abstract

Previous results on the convergence and divergence of K(a n/1).a n→−1/4, are generalized by constructing a sequence of reference continued fractions having explicit tails and associated chain sequences and then applying Pincherle's theorem together with a perturbation theory for solutions to the associated difference equations.

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Authors and Affiliations

  1. Department of Mathematics, University of Trondheim (NTH), N-7034, Trondheim, Norway

    L. Jacobsen

  2. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Canada

    D. R. Masson

Authors
  1. L. Jacobsen
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  2. D. R. Masson
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Communicated by Mourad Ismail.AMS classification: 39A10, 40A15.

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Jacobsen, L., Masson, D.R. On the convergence of limit periodic continued fractions K(a n/1), wherea n→−1/4. Part III. Constr. Approx 6, 363–374 (1990). https://doi.org/10.1007/BF01888270

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  • DOI: https://doi.org/10.1007/BF01888270

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