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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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On the Lebedev-Milin inequality
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by Mishael Zedek PDF
Proc. Amer. Math. Soc. 33 (1972), 395-397 Request permission

Abstract:

A generalization is given of an inequality of Lebedev-Milin involving the coefficients of a power series f and those of $\exp (f)$. It is proved that the exponential function can be replaced by certain, functions belonging to the family of functions whose Taylor expansions at the origin have nonnegative coefficients.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 33 (1972), 395-397
  • MSC: Primary 30A04
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0294608-7
  • MathSciNet review: 0294608