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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Overconvergence and $(C, 1)$ summability
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by Vladimir Drobot
Proc. Amer. Math. Soc. 25 (1970), 13-15
DOI: https://doi.org/10.1090/S0002-9939-1970-0254220-0

Abstract:

It is shown that a power series can be diluted to become $(C,1)$ summable outside the radius of convergence if and only if it overconverges.
References
  • G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
  • S. Mazur, Conditionally convergent series, Soc. Sav. Sci. Lett. Lwow. 4 (1929), 411-424.
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 13-15
  • MSC: Primary 30.21
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0254220-0
  • MathSciNet review: 0254220