Analytic theory of continued fractions : proceedings of a seminar-workshop held at Loen, Norway, 1981

Bibliographic Information

Analytic theory of continued fractions : proceedings of a seminar-workshop held at Loen, Norway, 1981

edited by W.B. Jones, W.J. Thron, and H. Waadeland

(Lecture notes in mathematics, 932)

Springer-Verlag, 1982

  • : Berlin
  • : New York

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Includes bibliographies

Description and Table of Contents

Table of Contents

Basic definitions and notation.- Survey of continued fraction methods of solving moment problems and related topics.- Modifications of continued fractions, a survey.- Convergence acceleration for continued fractions K(an/1) with lim an=0.- Truncation error analysis for continued fractions K(an/1) where .- A method for convergence acceleration of continued fractions K(an/1).- Some periodic sequences of circular convergence regions.- Some useful formulas involving tails of continued fractions.- Uniform twin-convergence regions for continued fractions K(an/1).- Digital filters and continued fractions.- ?-Fraction expansions of analytic functions.- On the structure of the two-point pade table.- A class of element and value regions for continued fractions.- Parameterizations and factorizations of element regions for continued fractions K(an/1).- On a certain transformation of continued fractions.

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