## Analytic Theory of Continued Fractions: Proceedings of a Seminar-Workshop Held at Loen, Norway, 1981 |

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### Contents

Basic Definitions and Notation | 4 |

Modifications of Continued Fractions a Survey | 38 |

LIST OF CONTRIBUTORS AND PARTICIPANTS | 58 |

Copyright | |

21 other sections not shown

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### Common terms and phrases

affine Lie algebra Amer analytic continuation Cartan Cartan subalgebra coefficients complex numbers computation continued fractions K(a continued fractions K(an/1 convergence acceleration convergence regions convergent continued fraction D-stable defined denote digital filter directed graph disk Edited equations equivalent exists finite fixed point follows formula fraction expansion given Haakon Waadeland Hence highest weight identities implies inequality integral irreducible isomorphic Jones and Thron Lemma Lepowsky limit periodic continued linear fractional transformations m,n m,n Math module nilpotent node obtain Pade approximant Pade table periodic continued fractions poles polynomials power series Proceedings proof of Theorem Proposition prove regions for continued representation respectively result roots satisfying Section semigroup semisimple simple element region simple Lie algebras solution subalgebra subset T-fractions tails Theorem truncation error twin-convergence regions two-point Pade value region corresponding vector W.J. Thron wrong modification zero