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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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General convergence of continued fractions
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by Lisa Jacobsen
Trans. Amer. Math. Soc. 294 (1986), 477-485
DOI: https://doi.org/10.1090/S0002-9947-1986-0825716-1
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Abstract:

We introduce a new concept of convergence of continued fractions—general convergence. Moreover, we compare it to the ordinary convergence concept and to strong convergence. Finally, we prove some properties of general convergence.
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 294 (1986), 477-485
  • MSC: Primary 40A15; Secondary 30B70
  • DOI: https://doi.org/10.1090/S0002-9947-1986-0825716-1
  • MathSciNet review: 825716