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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A reconsideration of the general parabola theorem in continued fractions
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by R. M. Hovstad PDF
Proc. Amer. Math. Soc. 102 (1988), 593-598 Request permission

Abstract:

A direct explicit proof, using one technical lemma and the difference equations, is given of the general parabola theorem.
References
  • 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
  • H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Co., Inc., New York, N. Y., 1948. MR 0025596
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • 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