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A reconsideration of the general parabola theorem in continued fractions


Author: R. M. Hovstad
Journal: Proc. Amer. Math. Soc. 102 (1988), 593-598
MSC: Primary 30B70; Secondary 40A15
DOI: https://doi.org/10.1090/S0002-9939-1988-0928986-1
MathSciNet review: 928986
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Abstract: A direct explicit proof, using one technical lemma and the difference equations, is given of the general parabola theorem.


References [Enhancements On Off] (What's this?)

  • [1] William B. Jones and Wolfgang J. Thron, Continued fractions, Encyclopedia of Mathematics and its Applications, vol. 11, Addison-Wesley Publishing Co., Reading, Mass., 1980. Analytic theory and applications; With a foreword by Felix E. Browder; With an introduction by Peter Henrici. MR 595864
  • [2] H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Company, Inc., New York, N. Y., 1948. MR 0025596

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0928986-1
Article copyright: © Copyright 1988 American Mathematical Society